Prime p₀= 2038856155699949249 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 64 2 28 2 82 2 4 2 22 2 (?)
a_n: 0 2 42 44 108 110 138 140 222 224 228 230 252 254
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: 254
Found by: ChUcK
db: batch=80, k=14, 40 64 28 82 4 22

STPT(10)	2038854559947201077	0 2 54 56 72 74 90 92 144 146	-1595752748172
STPT(10)	2038854997576534211	0 2 6 8 48 50 90 92 96 98	-1158123415038
STPT(10)	2038855458816609689	0 2 12 14 90 92 168 170 180 182	-696883339560
SPT(16)	2038855743112156897	0 4 12 22 34 66 82 102 154 174 190 222 234 244 252 256	-412587792352
SPT(16)	2038855839822287807	0 14 102 132 144 180 254 266 270 282 356 392 404 434 522 536	-315877661442
STPT(10)	2038856086774613339	0 2 48 50 60 62 72 74 120 122	-68925335910
SPT(16)	2038856572073536063	0 4 24 46 90 120 144 148 156 160 184 214 258 280 300 304	416373586814
TPT(14)	2038856634755787827	0 2 24 26 30 32 114 116 162 164 222 224 234 236	479055838578
SPT(16)	2038856825450719397	0 2 12 132 134 140 146 156 200 210 216 222 224 344 354 356	669750770148
TPT(14)	2038857114038767751	0 2 66 68 126 128 150 152 210 212 240 242 276 278	958338818502
SPT(16)	2038857213145004683	0 6 34 78 84 100 120 148 216 244 264 280 286 330 358 364	1057445055434