Prime p₀= 1157225373469200881 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 28 2 28 2 52 2 58 2 (?)
a_n: 0 2 30 32 66 68 96 98 126 128 180 182 240 242
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: 242
Found by: stoneageman
db: batch=77, k=14, 28 34 28 28 52 58

SPT(16)	1157224149567468821	0 12 48 68 80 122 170 182 198 210 258 300 312 332 368 380	-1223901732060
SPT(16)	1157224237394138587	0 4 16 22 72 90 102 142 204 244 256 274 324 330 342 346	-1136075062294
SPT(16)	1157224676659413101	0 50 60 116 168 188 210 246 332 368 390 410 462 518 528 578	-696809787780
STPT(10)	1157224895855697671	0 2 30 32 60 62 90 92 120 122	-477613503210
SPT(16)	1157225100302295593	0 20 24 30 56 84 126 156 158 188 230 258 284 290 294 314	-273166905288
STPT(10)	1157225109886520417	0 2 30 32 42 44 54 56 84 86	-263582680464
SPT(20)	1157225690156976127	0 84 114 154 220 240 246 270 276 286 354 364 370 394 400 420 486 526 556 640	316687775246
SPT(16)	1157225861111921617	0 4 52 84 112 150 162 172 174 184 196 234 262 294 342 346	487642720736
SPT(16)	1157225869892650013	0 18 30 54 56 84 114 126 128 140 170 198 200 224 236 254	496423449132
SPT(16)	1157226834942421951	0 10 42 66 112 166 178 180 208 210 222 276 322 346 378 388	1461473221070
SPT(16)	1157227250966272237	0 22 70 72 82 90 96 120 202 226 232 240 250 252 300 322	1877497071356