Prime p₀= 2560027202457578519 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 76 2 58 2 10 2 28 2 (?)
a_n: 0 2 42 44 72 74 150 152 210 212 222 224 252 254
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: 254
Found by: amargo133
db: batch=82, k=14, 40 28 76 58 10 28

SPT(16)	2560025758230647909	0 20 24 38 48 68 102 140 192 230 264 284 294 308 312 332	-1444226930610
STPT(10)	2560025961511710611	0 2 78 80 108 110 138 140 216 218	-1240945867908
SPT(16)	2560026372879647741	0 12 38 60 80 98 110 168 332 390 402 420 440 462 488 500	-829577930778
STPT(10)	2560026737004384551	0 2 36 38 78 80 120 122 156 158	-465453193968
SPT(16)	2560027016680248629	0 38 50 90 98 108 120 170 210 260 272 282 290 330 342 380	-185777329890
TPT(14)	2560027121854516877	0 2 54 56 162 164 180 182 294 296 342 344 402 404	-80603061642
STPT(10)	2560027348041973721	0 2 6 8 18 20 30 32 36 38	145584395202
STPT(10)	2560028177107377437	0 2 24 26 42 44 60 62 84 86	974649798918
SPT(16)	2560028271278515523	0 26 30 54 90 98 140 156 188 204 246 254 290 314 318 344	1068820937004
SPT(16)	2560028593765071193	0 24 36 66 144 160 190 204 226 240 270 286 364 394 406 430	1391307492674
TPT(14)	2560028605608170699	0 2 30 32 78 80 120 122 132 134 198 200 210 212	1403150592180