Prime p₀= 1592605293909987611 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 16 2 46 2 40 2 76 2 22 2 (?)
a_n: 0 2 60 62 78 80 126 128 168 170 246 248 270 272
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: Theadalus
db: batch=78, k=14, 58 16 46 40 76 22

SPT(16)	1592604307180926121	0 18 40 46 76 130 132 136 162 166 168 222 252 258 280 298	-986729061490
STPT(10)	1592604386650616147	0 2 42 44 132 134 222 224 264 266	-907259371464
STPT(10)	1592604640786987409	0 2 168 170 180 182 192 194 360 362	-653123000202
TPT(14)	1592604653501628047	0 2 72 74 180 182 240 242 264 266 282 284 372 374	-640408359564
SPT(16)	1592604731813744981	0 38 68 80 150 156 176 206 222 252 272 278 348 360 390 428	-562096242630
STPT(10)	1592605073573553839	0 2 48 50 60 62 72 74 120 122	-220336433772
SPT(20)	1592605384050049297	0 10 40 64 76 96 120 126 144 166 174 196 214 220 244 264 276 300 330 340	90140061686
STPT(10)	1592605392351359567	0 2 24 26 42 44 60 62 84 86	98441371956
STPT(10)	1592605448457063881	0 2 36 38 78 80 120 122 156 158	154547076270
SPT(16)	1592605544729149877	0 20 36 50 62 72 80 132 164 216 224 234 246 260 276 296	250819162266
SPT(16)	1592605652277587257	0 4 22 70 76 90 120 192 214 286 316 330 336 384 402 406	358367599646