Prime p₀= 1248505253309318567 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 94 2 40 2 130 2 4 2 (?)
a_n: 0 2 12 14 24 26 120 122 162 164 294 296 300 302
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: vinn@[CNT]
db: batch=77, k=14, 10 10 94 40 130 4

SPT(16)	1248503846555493637	0 54 96 106 156 180 186 214 222 250 256 280 330 340 382 436	-1406753824930
STPT(10)	1248504145817963777	0 2 12 14 42 44 72 74 84 86	-1107491354790
SPT(16)	1248504451655861891	0 36 50 60 86 110 128 138 140 150 168 192 218 228 242 278	-801653456676
STPT(10)	1248504572166847901	0 2 6 8 48 50 90 92 96 98	-681142470666
STPT(10)	1248504898390867301	0 2 30 32 60 62 90 92 120 122	-354918451266
SPT(16)	1248504989078840489	0 2 20 38 50 90 98 120 140 162 170 210 222 240 258 260	-264230478078
STPT(10)	1248505278879831521	0 2 6 8 48 50 90 92 96 98	25570512954
SPT(16)	1248505578380557451	0 30 38 80 108 120 128 132 206 210 218 230 258 300 308 338	325071238884
SPT(18)	1248506038893481397	0 24 44 86 150 156 162 176 182 234 240 254 260 266 330 372 392 416	785584162830
TPT(14)	1248506320572030197	0 2 12 14 42 44 144 146 150 152 192 194 210 212	1067262711630
STPT(10)	1248506336853329921	0 2 6 8 48 50 90 92 96 98	1083544011354