Prime p₀= 915739998972460139 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 16 2 52 2 28 2 76 2 16 2 (?)
a_n: 0 2 60 62 78 80 132 134 162 164 240 242 258 260
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: 260
Found by: Fardringle
db: batch=76, k=14, 58 16 52 28 76 16

SPT(16)	915738521983237087	0 24 42 76 106 126 160 172 444 456 490 510 540 574 592 616	-1476989223052
SPT(16)	915738592897801493	0 20 36 44 90 98 104 120 134 150 156 164 210 218 234 254	-1406074658646
SPT(16)	915738677392791619	0 24 30 48 54 78 82 220 222 360 364 388 394 412 418 442	-1321579668520
SPT(16)	915738922687656271	0 12 22 28 36 88 102 130 138 166 180 232 240 246 256 268	-1076284803868
STPT(10)	915739667196342251	0 2 6 8 48 50 90 92 96 98	-331776117888
SPT(16)	915739714854562219	0 18 24 42 48 70 118 130 222 234 282 304 310 328 334 352	-284117897920
SPT(16)	915740224472141053	0 40 84 108 130 166 174 178 216 220 228 264 286 310 354 394	225499680914
SPT(18)	915740332458532367	0 24 26 56 72 96 122 140 182 204 246 264 290 314 330 360 362 386	333486072228
STPT(10)	915740344490956739	0 2 18 20 30 32 42 44 60 62	345518496600
STPT(10)	915740904126910481	0 2 6 8 48 50 90 92 96 98	905154450342
SPT(16)	915741072193126079	0 8 42 92 110 138 150 182 228 260 272 300 318 368 402 410	1073220665940