Prime p₀= 2264932088239230581 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 88 2 232 2 136 2 70 2 4 2 (?)
a_n: 0 2 6 8 96 98 330 332 468 470 540 542 546 548
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: 548
Found by: Orange Kid
db: batch=81, k=14, 4 88 232 136 70 4

SPT(16)	2264931028144242869	0 54 80 144 152 192 224 228 314 318 350 390 398 462 488 542	-1060094987712
SPT(16)	2264931349026341977	0 34 42 60 112 126 142 150 196 204 220 234 286 304 312 346	-739212888604
TPT(14)	2264931415395215339	0 2 12 14 90 92 108 110 180 182 192 194 222 224	-672844015242
STPT(10)	2264931620424740087	0 2 30 32 120 122 210 212 240 242	-467814490494
SPT(16)	2264931639796904341	0 40 42 46 60 70 102 106 246 250 282 292 306 310 312 352	-448442326240
SPT(16)	2264931648950555731	0 66 108 126 142 150 156 208 210 262 268 276 292 310 352 418	-439288674850
STPT(10)	2264932237893081899	0 2 18 20 30 32 42 44 60 62	149653851318
STPT(10)	2264932354253694941	0 2 6 8 48 50 90 92 96 98	266014464360
SPT(16)	2264932566329838919	0 34 40 48 54 78 82 112 120 150 154 178 184 192 198 232	478090608338
SPT(16)	2264932629630486019	0 40 42 70 84 88 130 142 150 162 204 208 222 250 252 292	541391255438
STPT(10)	2264932886176211297	0 2 54 56 72 74 90 92 144 146	797936980716