Prime p₀= 1918107532959875867 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 190 2 4 2 22 2 28 2 76 2 (?)
a_n: 0 2 42 44 234 236 240 242 264 266 294 296 372 374
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 374
Found by: Landjunge
db: batch=80, k=14, 40 190 4 22 28 76

SPT(16)	1918106553928659959	0 42 44 60 68 102 128 134 138 144 170 204 212 228 230 272	-979031215908
TPT(14)	1918106829582728639	0 2 30 32 72 74 138 140 150 152 252 254 288 290	-703377147228
SPT(16)	1918107142976102557	0 12 22 42 66 112 114 156 160 202 204 250 274 294 304 316	-389983773310
SPT(16)	1918107343942720943	0 8 38 48 56 104 116 138 146 168 180 228 236 246 276 284	-189017154924
SPT(16)	1918107403438962367	0 16 22 66 76 100 106 120 142 156 162 186 196 240 246 262	-129520913500
SPT(16)	1918107510988726459	0 24 30 42 54 70 72 112 120 160 162 178 190 202 208 232	-21971149408
SPT(16)	1918107580405426063	0 10 36 118 190 208 210 318 346 454 456 474 546 628 654 664	47445550196
SPT(16)	1918107654803289529	0 48 82 130 208 222 238 240 310 312 328 342 420 468 502 550	121843413662
SPT(16)	1918107957810033083	0 68 86 98 138 180 188 198 206 216 224 266 306 318 336 404	424850157216
SPT(16)	1918108324996056223	0 4 6 16 24 28 46 70 174 198 216 220 228 238 240 244	792036180356
SPT(16)	1918108476743929193	0 6 8 38 84 104 120 146 168 194 210 230 276 306 308 314	943784053326