Prime p₀= 1219668587393757911 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 154 2 100 2 40 2 46 2 16 2 10 2 (?)
a_n: 0 2 156 158 258 260 300 302 348 350 366 368 378 380
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: 380
Found by: xii5ku
db: batch=77, k=14, 154 100 40 46 16 10

SPT(16)	1219666723436912831	0 26 56 66 92 110 120 122 210 212 222 240 266 276 306 332	-1863956845080
TPT(14)	1219666758146946881	0 2 30 32 156 158 168 170 210 212 258 260 270 272	-1829246811030
SPT(16)	1219667233878176233	0 16 30 40 54 78 100 108 196 204 226 250 264 274 288 304	-1353515581678
STPT(10)	1219667434614209489	0 2 18 20 30 32 42 44 60 62	-1152779548422
SPT(16)	1219668159094678703	0 50 114 126 156 174 198 210 224 236 260 278 308 320 384 434	-428299079208
SPT(16)	1219668538273594897	0 22 34 70 102 112 144 160 174 190 222 232 264 300 312 334	-49120163014
STPT(12)	1219669368984401519	0 2 18 20 30 32 60 62 72 74 90 92	781590643608
STPT(10)	1219669406286414911	0 2 36 38 78 80 120 122 156 158	818892657000
SPT(16)	1219669426526896291	0 22 42 66 100 108 112 196 312 396 400 408 442 466 486 508	839133138380
STPT(12)	1219669515079454861	0 2 48 50 90 92 198 200 240 242 288 290	927685696950
STPT(10)	1219669725906799241	0 2 6 8 48 50 90 92 96 98	1138513041330