Prime p₀= 1956851473991263271 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 82 2 118 2 28 2 46 2 178 2 (?)
a_n: 0 2 6 8 90 92 210 212 240 242 288 290 468 470
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: 470
Found by: Landjunge
db: batch=80, k=14, 4 82 118 28 46 178

SPT(16)	1956850031821263571	0 28 42 58 72 76 90 142 186 238 252 256 270 286 300 328	-1442169999700
SPT(16)	1956850556620710731	0 8 36 60 80 120 128 140 186 198 206 246 266 290 318 326	-917370552540
STPT(10)	1956850634161900577	0 2 60 62 72 74 84 86 144 146	-839829362694
TPT(16)	1956850866864956609	0 2 30 32 42 44 180 182 252 254 330 332 390 392 420 422	-607126306662
SPT(16)	1956851049466835129	0 12 54 72 128 132 152 180 182 210 230 234 290 308 350 362	-424524428142
SPT(16)	1956851400866727971	0 2 68 90 92 132 138 152 156 170 176 216 218 240 306 308	-73124535300
STPT(10)	1956851730060017771	0 2 30 32 78 80 126 128 156 158	256068754500
SPT(16)	1956852062502182863	0 30 58 66 78 84 124 138 166 180 220 226 238 246 274 304	588510919592
SPT(16)	1956852669061713343	0 16 46 48 60 88 100 118 156 174 186 214 226 228 258 274	1195070450072
STPT(10)	1956853122113940227	0 2 72 74 102 104 132 134 204 206	1648122676956
SPT(16)	1956853356159631907	0 14 20 90 132 150 204 252 314 362 416 434 476 546 552 566	1882168368636