Prime p₀= 1545360873833326157 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 46 2 52 2 64 2 28 2 22 2 (?)
a_n: 0 2 12 14 60 62 114 116 180 182 210 212 234 236
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: 236
Found by: emoga
db: batch=78, k=14, 10 46 52 64 28 22

SPT(20)	1545359549188859779	0 4 30 40 42 60 70 82 112 138 214 240 270 282 292 310 312 322 348 352	-1324644466378
STPT(10)	1545359560003091681	0 2 30 32 60 62 90 92 120 122	-1313830234476
SPT(16)	1545359790185204593	0 10 18 54 66 78 96 124 150 178 196 208 220 256 264 274	-1083648121564
SPT(16)	1545360757113904547	0 32 62 102 126 180 194 222 224 252 266 320 344 384 414 446	-116719421610
SPT(16)	1545360780702460643	0 6 20 38 50 108 126 138 176 188 206 264 276 294 308 314	-93130865514
SPT(16)	1545360873528051809	0 32 50 102 110 150 182 192 218 228 260 300 308 360 378 410	-305274348
SPT(16)	1545360887018301701	0 6 12 18 50 56 60 96 182 218 222 228 260 266 272 278	13184975544
STPT(10)	1545360944309607767	0 2 24 26 42 44 60 62 84 86	70476281610
SPT(16)	1545361162916341157	0 6 24 30 36 84 90 102 104 116 122 170 176 182 200 206	289083015000
SPT(16)	1545361166895555533	0 44 56 60 80 86 108 110 144 146 168 174 194 198 210 254	293062229376
SPT(16)	1545361276831430939	0 14 30 72 152 168 200 210 212 222 254 270 350 392 408 422	402998104782