Prime p₀= 851657398443869531 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 58 2 178 2 178 2 4 2 10 2 (?)
a_n: 0 2 90 92 150 152 330 332 510 512 516 518 528 530
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: 530
Found by: RFGuy_KCCO
db: batch=73, k=14, 88 58 178 178 4 10

SPT(16)	851656973975899369	0 54 84 88 154 168 180 210 232 262 274 288 354 358 388 442	-424467970162
SPT(16)	851657062499699551	0 16 18 42 58 88 142 250 288 396 450 480 496 520 522 538	-335944169980
SPT(16)	851657164661790841	0 12 16 30 48 82 100 112 126 138 156 190 208 222 226 238	-233782078690
SPT(16)	851657246065227233	0 20 74 84 86 98 164 168 206 210 276 288 290 300 354 374	-152378642298
TPT(14)	851657331727254257	0 2 30 32 72 74 162 164 174 176 282 284 324 326	-66716615274
STPT(10)	851657382431827721	0 2 36 38 78 80 120 122 156 158	-16012041810
SPT(16)	851657403457551109	0 4 30 34 42 58 90 100 102 112 144 160 168 172 198 202	5013681578
STPT(10)	851658063868677407	0 2 24 26 42 44 60 62 84 86	665424807876
SPT(16)	851658100299291281	0 20 68 72 78 90 96 98 120 122 128 140 146 150 198 218	701855421750
TPT(14)	851658178747659431	0 2 36 38 66 68 96 98 120 122 168 170 210 212	780303789900
STPT(10)	851658178851825197	0 2 30 32 72 74 114 116 144 146	780407955666