Prime p₀= 2589593895705635591 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 16 2 10 2 124 2 10 2 58 2 (?)
a_n: 0 2 90 92 108 110 120 122 246 248 258 260 318 320
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: 320
Found by: JayPi
db: batch=82, k=14, 88 16 10 124 10 58

STPT(10)	2589591802401667487	0 2 54 56 72 74 90 92 144 146	-2093303968104
SPT(16)	2589592316402771857	0 16 52 66 102 114 130 132 154 156 172 184 220 234 270 286	-1579302863734
STPT(10)	2589592527334312469	0 2 12 14 30 32 48 50 60 62	-1368371323122
STPT(10)	2589592736486533121	0 2 36 38 78 80 120 122 156 158	-1159219102470
SPT(18)	2589592970710397909	0 8 14 48 132 140 158 180 200 252 272 294 312 320 404 438 444 452	-924995237682
SPT(16)	2589593285353788341	0 18 62 90 150 162 182 188 222 228 248 260 320 348 392 410	-610351847250
TPT(14)	2589593909079007319	0 2 30 32 60 62 102 104 192 194 228 230 282 284	13373371728
STPT(10)	2589593985921236027	0 2 24 26 42 44 60 62 84 86	90215600436
SPT(16)	2589594269202591311	0 56 62 66 108 138 146 188 300 342 350 380 422 426 432 488	373496955720
SPT(16)	2589594412364737681	0 30 36 106 150 186 190 192 226 228 232 268 312 382 388 418	516659102090
SPT(16)	2589594551284235353	0 18 24 60 94 108 118 144 244 270 280 294 328 364 370 388	655578599762