Prime p₀= 2428330373795677157 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 70 2 58 2 4 2 40 2 (?)
a_n: 0 2 42 44 72 74 144 146 204 206 210 212 252 254
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: 254
Found by: JayPi
db: batch=82, k=14, 40 28 70 58 4 40

SPT(16)	2428329034388607929	0 8 14 42 50 60 90 98 144 152 182 192 200 228 234 242	-1339407069228
STPT(10)	2428329203755602107	0 2 72 74 102 104 132 134 204 206	-1170040075050
SPT(16)	2428329274926336623	0 24 30 50 66 80 84 108 176 200 204 218 234 254 260 284	-1098869340534
STPT(10)	2428329617902257227	0 2 54 56 72 74 90 92 144 146	-755893419930
SPT(16)	2428329931303383841	0 18 40 42 52 60 82 88 90 96 118 126 136 138 160 178	-442492293316
SPT(16)	2428330255723028303	0 20 38 54 80 98 108 170 174 236 246 264 290 306 324 344	-118072648854
TPT(14)	2428331069916293411	0 2 36 38 48 50 78 80 270 272 336 338 396 398	696120616254
STPT(10)	2428331422846564091	0 2 36 38 108 110 180 182 216 218	1049050886934
SPT(16)	2428331566691010833	0 20 30 74 86 114 144 146 378 380 410 438 450 494 504 524	1192895333676
STPT(10)	2428331623088804177	0 2 42 44 132 134 222 224 264 266	1249293127020
STPT(10)	2428331850296302931	0 2 30 32 78 80 126 128 156 158	1476500625774