Prime p₀= 902216693131490309 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 28 2 34 2 268 2 22 2 (?)
a_n: 0 2 60 62 72 74 102 104 138 140 408 410 432 434
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: 434
Found by: stoneageman
db: batch=76, k=14, 58 10 28 34 268 22

SPT(16)	902214926189687717	0 12 26 32 66 120 144 146 180 182 206 260 294 300 314 326	-1766941802592
TPT(14)	902214955573317311	0 2 30 32 186 188 300 302 378 380 408 410 510 512	-1737558172998
SPT(16)	902214958333248983	0 8 30 44 54 68 78 90 134 146 156 170 180 194 216 224	-1734798241326
SPT(16)	902215070342877983	0 54 68 86 98 146 224 230 234 240 318 366 378 396 410 464	-1622788612326
SPT(16)	902215641558783463	0 6 30 46 70 84 114 118 156 160 190 204 228 244 268 274	-1051572706846
STPT(10)	902216379029761907	0 2 42 44 72 74 102 104 144 146	-314101728402
SPT(16)	902216913641819249	0 78 92 102 110 122 134 140 162 168 180 192 200 210 224 302	220510328940
STPT(10)	902216948424090329	0 2 18 20 30 32 42 44 60 62	255292600020
STPT(10)	902217038448173429	0 2 42 44 60 62 78 80 120 122	345316683120
SPT(16)	902217084632183531	0 8 30 50 80 150 288 326 330 368 506 576 606 626 648 656	391500693222
STPT(12)	902217640382897957	0 2 24 26 30 32 54 56 60 62 84 86	947251407648