Prime p₀= 2815373752842591131 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 28 2 76 2 40 2 40 2 4 2 (?)
a_n: 0 2 48 50 78 80 156 158 198 200 240 242 246 248
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: 248
Found by: JayPi
db: batch=82, k=14, 46 28 76 40 40 4

SPT(18)	2815373153719310099	0 12 54 108 122 138 252 270 308 324 362 380 494 510 524 578 620 632	-599123281032
SPT(16)	2815373332424307791	0 48 56 68 78 90 146 180 218 252 308 320 330 342 350 398	-420418283340
SPT(16)	2815373405112394831	0 60 66 70 112 136 138 178 180 220 222 246 288 292 298 358	-347730196300
STPT(10)	2815373455504990151	0 2 36 38 78 80 120 122 156 158	-297337600980
STPT(10)	2815373551204717817	0 2 12 14 42 44 72 74 84 86	-201637873314
SPT(16)	2815373663050548857	0 12 32 66 74 126 164 180 236 252 290 342 350 384 404 416	-89792042274
STPT(10)	2815374117109743587	0 2 30 32 72 74 114 116 144 146	364267152456
SPT(16)	2815374181180662817	0 24 30 46 72 94 112 126 130 144 162 184 210 226 232 256	428338071686
STPT(10)	2815374201282109667	0 2 54 56 72 74 90 92 144 146	448439518536
STPT(10)	2815374247384811417	0 2 30 32 42 44 54 56 84 86	494542220286
SPT(16)	2815374380350651187	0 32 50 60 80 96 144 150 176 182 230 246 266 276 294 326	627508060056