Prime p₀= 2189501567241551111 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 4 2 28 2 40 2 118 2 10 2 (?)
a_n: 0 2 90 92 96 98 126 128 168 170 288 290 300 302
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: 302
Found by: [SG-FC] hl
db: batch=81, k=14, 88 4 28 40 118 10

SPT(16)	2189500331567127127	0 22 54 90 94 132 136 156 160 180 184 222 226 262 294 316	-1235674423984
STPT(10)	2189500335295790051	0 2 78 80 108 110 138 140 216 218	-1231945761060
SPT(16)	2189500737445123489	0 18 72 88 148 184 190 330 352 492 498 534 594 610 664 682	-829796427622
TPT(14)	2189500999686320807	0 2 42 44 60 62 102 104 114 116 144 146 240 242	-567555230304
SPT(16)	2189501156191459741	0 12 96 108 120 130 156 190 228 262 288 298 310 322 406 418	-411050091370
STPT(10)	2189501263894293467	0 2 30 32 42 44 54 56 84 86	-303347257644
STPT(10)	2189501661244597277	0 2 30 32 42 44 54 56 84 86	94003046166
SPT(16)	2189501663368100327	0 12 54 72 74 96 102 114 122 134 140 162 164 182 224 236	96126549216
SPT(16)	2189501711213529143	0 48 78 110 158 168 188 200 204 216 236 246 294 326 356 404	143971978032
SPT(16)	2189501725364102561	0 2 60 66 86 126 132 158 240 266 272 312 332 338 396 398	158122551450
STPT(10)	2189501938407855737	0 2 12 14 42 44 72 74 84 86	371166304626