Prime p₀= 2667157107323085197 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 22 2 34 2 10 2 136 2 22 2 (?)
a_n: 0 2 60 62 84 86 120 122 132 134 270 272 294 296
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: 296
Found by: [SG-FC] hl
db: batch=82, k=14, 58 22 34 10 136 22

TPT(14)	2667153945824738177	0 2 42 44 84 86 174 176 210 212 252 254 294 296	-3161498347020
STPT(10)	2667154477321219979	0 2 42 44 60 62 78 80 120 122	-2630001865218
SPT(16)	2667154700166013511	0 2 26 68 110 126 150 152 156 158 182 198 240 282 306 308	-2407157071686
SPT(16)	2667154909212486403	0 46 58 64 78 154 184 226 228 270 300 376 390 396 408 454	-2198110598794
SPT(16)	2667155195791425307	0 72 82 90 96 112 160 174 202 216 264 280 286 294 304 376	-1911531659890
SPT(16)	2667155703968149169	0 12 42 80 114 140 150 152 240 242 252 278 312 350 380 392	-1403354936028
STPT(10)	2667157283895241607	0 2 30 32 42 44 54 56 84 86	176572156410
STPT(10)	2667157355503014767	0 2 30 32 42 44 54 56 84 86	248179929570
SPT(16)	2667157374129425843	0 18 50 56 78 80 98 128 156 186 204 206 228 234 266 284	266806340646
STPT(10)	2667157716274873427	0 2 12 14 72 74 132 134 144 146	608951788230
SPT(16)	2667157731650093713	0 10 76 94 96 126 136 166 168 198 208 238 240 258 324 334	624327008516