Prime p₀= 950494748191300589 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 106 2 160 2 10 2 76 2 40 2 (?)
a_n: 0 2 30 32 138 140 300 302 312 314 390 392 432 434
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, 28 106 160 10 76 40

SPT(16)	950493521254431529	0 12 88 102 228 240 250 258 334 342 352 364 490 504 580 592	-1226936869060
SPT(16)	950493825215362903	0 10 18 66 76 94 118 138 166 186 210 228 238 286 294 304	-922975937686
SPT(16)	950494349979165367	0 22 46 52 70 82 84 112 204 232 234 246 264 270 294 316	-398212135222
SPT(16)	950494590232487723	0 30 36 68 98 168 170 264 290 384 386 456 486 518 524 554	-157958812866
STPT(12)	950494654669365227	0 2 30 32 42 44 90 92 102 104 132 134	-93521935362
TPT(14)	950494654669365227	0 2 30 32 42 44 90 92 102 104 132 134 144 146	-93521935362
SPT(16)	950494771302238301	0 6 32 38 66 98 128 156 242 270 300 332 360 366 392 398	23110937712
SPT(16)	950494938698941243	0 18 40 46 48 84 88 124 180 216 220 256 258 264 286 304	190507640654
STPT(10)	950494954290240971	0 2 66 68 108 110 150 152 216 218	206098940382
STPT(10)	950495320524926789	0 2 18 20 30 32 42 44 60 62	572333626200
SPT(16)	950495619185663389	0 10 48 72 108 132 160 222 238 300 328 352 388 412 450 460	870994362800