Prime p₀= 2234634004105722491 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 10 2 40 2 46 2 40 2 28 2 (?)
a_n: 0 2 96 98 108 110 150 152 198 200 240 242 270 272
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: 272
Found by: herby44
db: batch=81, k=14, 94 10 40 46 40 28

SPT(13)	2234632142649264781	0 12 42 78 120 132 150 168 180 222 258 288 300	-1861456457710
STPT(10)	2234632735549161977	0 2 12 14 42 44 72 74 84 86	-1268556560514
SPT(16)	2234632961239884377	0 44 60 72 86 90 110 156 170 216 236 240 254 266 282 326	-1042865838114
SPT(16)	2234633058318169739	0 38 60 62 80 90 98 102 128 132 140 150 168 170 192 230	-945787552752
SPT(18)	2234633453192525141	0 30 42 80 96 180 212 228 242 246 260 276 308 392 408 446 458 488	-550913197350
STPT(10)	2234633760379450481	0 2 6 8 18 20 30 32 36 38	-243726272010
STPT(10)	2234634171084107027	0 2 42 44 72 74 102 104 144 146	166978384536
SPT(16)	2234634277812741583	0 4 18 60 88 100 108 130 168 190 198 210 238 280 294 298	273707019092
SPT(16)	2234634428174444029	0 4 30 40 100 112 138 160 222 244 270 282 342 352 378 382	424068721538
TPT(14)	2234634761258706041	0 2 30 32 48 50 138 140 156 158 180 182 186 188	757152983550
SPT(16)	2234634926442906583	0 18 24 40 66 114 136 156 178 198 220 268 294 310 316 334	922337184092