Prime p₀= 1127408169171979139 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 46 2 10 2 28 2 106 2 (?)
a_n: 0 2 18 20 42 44 90 92 102 104 132 134 240 242
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: 242
Found by: crashtech
db: batch=76, k=14, 16 22 46 10 28 106

STPT(10)	1127406977074198589	0 2 18 20 30 32 42 44 60 62	-1192097780550
SPT(18)	1127407495330705441	0 40 66 90 112 150 160 166 180 208 222 228 238 276 298 322 348 388	-673841273698
SPT(16)	1127407594462150069	0 54 60 78 90 172 228 250 252 274 330 412 424 442 448 502	-574709829070
SPT(16)	1127407635288227357	0 44 50 80 140 162 164 212 234 282 284 306 366 396 402 446	-533883751782
STPT(12)	1127407654363528607	0 2 60 62 144 146 180 182 264 266 324 326	-514808450532
STPT(10)	1127407778737035977	0 2 30 32 42 44 54 56 84 86	-390434943162
SPT(16)	1127408276410687309	0 34 42 52 54 64 100 108 124 132 168 178 180 190 198 232	107238708170
SPT(16)	1127408732392718641	0 12 28 78 90 112 118 130 210 222 228 250 262 312 328 340	563220739502
STPT(10)	1127408776696210121	0 2 36 38 78 80 120 122 156 158	607524230982
SPT(16)	1127409272119996267	0 6 24 54 96 112 136 142 174 180 204 220 262 292 310 316	1102948017128
STPT(10)	1127409894189908177	0 2 30 32 60 62 90 92 120 122	1725017929038