Prime p₀= 2134643905010400137 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 76 2 118 2 10 2 28 2 58 2 (?)
a_n: 0 2 12 14 90 92 210 212 222 224 252 254 312 314
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: 314
Found by: Vato
db: batch=80, k=14, 10 76 118 10 28 58

SPT(16)	2134642737655655933	0 26 68 80 104 140 150 194 210 254 264 300 324 336 378 404	-1167354744204
STPT(10)	2134642861863596837	0 2 30 32 42 44 54 56 84 86	-1043146803300
STPT(10)	2134643006317473269	0 2 48 50 60 62 72 74 120 122	-898692926868
SPT(16)	2134643228778759287	0 2 50 84 86 102 110 120 176 186 194 210 212 246 294 296	-676231640850
SPT(16)	2134643415482274043	0 18 34 36 48 100 106 174 310 378 384 436 448 450 466 484	-489528126094
SPT(16)	2134643737254113587	0 12 34 40 42 52 102 124 132 154 204 214 216 222 244 256	-167756286550
SPT(16)	2134644722851505341	0 36 72 112 120 138 196 208 210 222 280 298 306 346 382 418	817841105204
SPT(16)	2134645122575899631	0 12 38 92 110 120 176 180 218 222 278 288 306 360 386 398	1217565499494
SPT(16)	2134645578973631429	0 30 60 62 90 114 122 132 140 150 158 182 210 212 242 272	1673963231292
SPT(16)	2134645756326849037	0 12 16 72 76 84 96 112 114 130 142 150 154 210 214 226	1851316448900
STPT(10)	2134646290468971899	0 2 12 14 90 92 168 170 180 182	2385458571762