Prime p₀= 2667324099993502769 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 4 2 28 2 40 2 58 2 (?)
a_n: 0 2 30 32 72 74 78 80 108 110 150 152 210 212
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: 212
Found by: RFGuy_KCCO
db: batch=82, k=14, 28 40 4 28 40 58

SPT(16)	2667322703390603701	0 66 72 102 136 172 186 216 256 286 300 336 370 400 406 472	-1396602899068
STPT(10)	2667322749291573797	0 2 54 56 72 74 90 92 144 146	-1350701928972
SPT(16)	2667322834242324911	0 60 78 120 156 162 170 182 246 258 266 272 308 350 368 428	-1265751177858
STPT(10)	2667323231252063429	0 2 42 44 90 92 138 140 180 182	-868741439340
SPT(16)	2667323959219393697	0 44 60 86 90 104 122 240 266 384 402 416 420 446 462 506	-140774109072
SPT(16)	2667324031357888451	0 38 48 68 80 98 146 182 216 252 300 318 330 350 360 398	-68635614318
SPT(16)	2667324127955868739	0 10 12 24 28 72 142 154 168 180 250 294 298 310 312 322	27962365970
SPT(16)	2667324143411454529	0 22 34 58 72 100 150 160 192 202 252 280 294 318 330 352	43417951760
STPT(12)	2667324162985495757	0 2 30 32 42 44 132 134 144 146 174 176	62991992988
STPT(10)	2667324523339823507	0 2 30 32 42 44 54 56 84 86	423346320738
STPT(10)	2667324557761341659	0 2 18 20 30 32 42 44 60 62	457767838890