Prime p₀= 1289387660475919091 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 28 2 10 2 40 2 34 2 22 2 (?)
a_n: 0 2 6 8 36 38 48 50 90 92 126 128 150 152
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: 152
Found by: Cruncher Pete
db: batch=77, k=14, 4 28 10 40 34 22

SPT(16)	1289385179336662189	0 34 52 60 78 84 90 94 288 292 298 304 322 330 348 382	-2481139256902
STPT(12)	1289385687275115797	0 2 12 14 42 44 90 92 120 122 132 134	-1973200803294
TPT(14)	1289386017300215117	0 2 24 26 90 92 150 152 294 296 330 332 390 392	-1643175703974
STPT(10)	1289386134665031551	0 2 36 38 78 80 120 122 156 158	-1525810887540
SPT(16)	1289387492840830949	0 14 44 54 80 108 150 168 224 242 284 312 338 348 378 392	-167635088142
SPT(16)	1289387608063513121	0 36 50 56 98 102 108 116 132 140 146 150 192 198 212 248	-52412405970
SPT(16)	1289387669692206463	0 30 40 54 66 84 96 108 196 208 220 238 250 264 274 304	9216287372
SPT(16)	1289387820489077237	0 14 32 42 54 60 84 92 102 110 134 140 152 162 180 194	160013158146
STPT(10)	1289388000278179577	0 2 12 14 42 44 72 74 84 86	339802260486
SPT(16)	1289388001258939927	0 16 24 34 94 100 142 144 202 204 246 252 312 322 330 346	340783020836
SPT(16)	1289388048858433417	0 34 54 84 126 136 150 166 174 190 204 214 256 286 306 340	388382514326