Prime p₀= 2518055188085898311 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 166 2 10 2 4 2 22 2 58 2 28 2 (?)
a_n: 0 2 168 170 180 182 186 188 210 212 270 272 300 302
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: [SG-FC] hl
db: batch=82, k=14, 166 10 4 22 58 28

SPT(16)	2518054086670128233	0 6 24 30 44 104 128 146 258 276 300 360 374 380 398 404	-1101415770078
STPT(10)	2518054245378606677	0 2 12 14 42 44 72 74 84 86	-942707291634
STPT(10)	2518054341659871449	0 2 78 80 120 122 162 164 240 242	-846426026862
SPT(16)	2518054801620594259	0 30 70 72 78 84 102 114 118 130 148 154 160 162 202 232	-386465304052
SPT(16)	2518055036350238113	0 16 18 28 36 58 70 88 126 144 156 178 186 196 198 214	-151735660198
STPT(10)	2518055184857312099	0 2 18 20 30 32 42 44 60 62	-3228586212
SPT(16)	2518055540694470461	0 12 42 46 66 70 76 132 136 192 198 202 222 226 256 268	352608572150
SPT(16)	2518055621125495531	0 6 12 22 28 40 42 70 78 106 108 120 126 136 142 148	433039597220
SPT(16)	2518055669986155499	0 12 28 30 48 72 124 202 210 288 340 364 382 384 400 412	481900257188
SPT(16)	2518055766759901451	0 2 32 72 108 116 140 186 332 378 402 410 446 486 516 518	578674003140
SPT(16)	2518055980222233743	0 24 56 68 78 80 84 140 204 260 264 266 276 288 320 344	792136335432