Prime p₀= 1258122226456589777 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 28 2 46 2 40 2 16 2 70 2 (?)
a_n: 0 2 54 56 84 86 132 134 174 176 192 194 264 266
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: 266
Found by: mikey
db: batch=77, k=14, 52 28 46 40 16 70

SPT(16)	1258120991921416681	0 6 76 78 100 108 120 132 136 148 160 168 190 192 262 268	-1234535173096
STPT(10)	1258121012522253791	0 2 6 8 18 20 30 32 36 38	-1213934335986
SPT(16)	1258121192675526889	0 24 52 64 108 118 154 168 184 198 234 244 288 300 328 352	-1033781062888
STPT(10)	1258121261385858137	0 2 30 32 72 74 114 116 144 146	-965070731640
STPT(12)	1258121489002202507	0 2 12 14 42 44 72 74 102 104 114 116	-737454387270
SPT(16)	1258121647276347991	0 12 40 42 96 112 118 132 196 210 216 232 286 288 316 328	-579180241786
SPT(16)	1258122413851751993	0 26 80 98 156 158 180 198 266 284 306 308 366 384 438 464	187395162216
STPT(10)	1258122462545765429	0 2 18 20 30 32 42 44 60 62	236089175652
SPT(16)	1258122790181479403	0 44 80 114 140 168 180 230 258 308 320 348 374 408 444 488	563724889626
SPT(16)	1258123458371446189	0 22 24 28 42 48 52 90 112 150 154 160 174 178 180 202	1231914856412
SPT(16)	1258123742031729511	0 60 66 156 162 228 240 252 256 268 280 346 352 442 448 508	1515575139734