Prime p₀= 1860586726570154057 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 46 2 40 2 64 2 58 2 (?)
a_n: 0 2 12 14 54 56 102 104 144 146 210 212 270 272
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: ladmo
db: batch=79, k=14, 10 40 46 40 64 58

SPT(16)	1860585539516775739	0 48 54 70 82 108 118 132 160 174 184 210 222 238 244 292	-1187053378318
SPT(16)	1860585736494494701	0 28 58 96 118 130 172 180 328 336 378 390 412 450 480 508	-990075659356
SPT(16)	1860585930795761779	0 52 82 114 168 192 214 234 268 288 310 334 388 420 450 502	-795774392278
STPT(10)	1860586365279633989	0 2 48 50 90 92 132 134 180 182	-361290520068
SPT(16)	1860586450385639959	0 12 28 30 34 52 72 90 142 160 180 198 202 204 220 232	-276184514098
SPT(13)	1860586695758106427	0 60 66 90 96 150 180 210 264 270 294 300 360	-30812047630
STPT(10)	1860586868046957287	0 2 12 14 42 44 72 74 84 86	141476803230
SPT(16)	1860586920779010731	0 2 62 80 90 150 168 170 228 230 248 308 318 336 396 398	194208856674
SPT(16)	1860587014217834897	0 56 60 80 86 92 96 114 122 140 144 150 156 176 180 236	287647680840
SPT(16)	1860587096679455461	0 10 16 136 148 160 162 220 258 316 318 330 342 462 468 478	370109301404
STPT(10)	1860587207173319237	0 2 30 32 42 44 54 56 84 86	480603165180