Prime p₀= 2309389108778822687 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 70 2 88 2 4 2 160 2 (?)
a_n: 0 2 24 26 42 44 114 116 204 206 210 212 372 374
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: 374
Found by: Orange Kid
db: batch=81, k=14, 22 16 70 88 4 160

SPT(16)	2309387794029230461	0 10 46 60 78 88 150 166 252 268 330 340 358 372 408 418	-1314749592226
STPT(10)	2309388017510501021	0 2 6 8 48 50 90 92 96 98	-1091268321666
STPT(10)	2309388256313745791	0 2 30 32 60 62 90 92 120 122	-852465076896
STPT(10)	2309388812422288031	0 2 30 32 138 140 246 248 276 278	-296356534656
SPT(16)	2309388899900484763	0 34 64 70 106 118 148 154 180 186 216 228 264 270 300 334	-208878337924
SPT(16)	2309389068044149321	0 28 112 168 172 196 226 228 250 252 282 306 310 366 450 478	-40734673366
SPT(16)	2309389438450162879	0 30 40 48 82 90 100 108 184 192 202 210 244 252 262 292	329671340192
SPT(16)	2309389474603519873	0 24 34 54 88 90 108 118 180 190 208 210 244 264 274 298	365824697186
TPT(14)	2309389512765710651	0 2 6 8 78 80 126 128 210 212 306 308 468 470	403986887964
STPT(10)	2309389665081986957	0 2 30 32 42 44 54 56 84 86	556303164270
STPT(10)	2309390006150889239	0 2 42 44 90 92 138 140 180 182	897372066552