Prime p₀= 2601330218558207327 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 70 2 4 2 130 2 40 2 16 2 (?)
a_n: 0 2 42 44 114 116 120 122 252 254 294 296 312 314
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: 314
Found by: JayPi
db: batch=82, k=14, 40 70 4 130 40 16

SPT(16)	2601328708539766753	0 28 48 66 78 136 150 160 246 256 270 328 340 358 378 406	-1510018440574
SPT(16)	2601328754850378523	0 48 70 90 150 168 178 180 274 276 286 304 364 384 406 454	-1463707828804
SPT(16)	2601328927783315277	0 6 30 32 44 66 92 182 234 324 350 372 384 386 410 416	-1290774892050
SPT(16)	2601329719459352839	0 12 28 72 178 210 250 262 270 282 322 354 460 504 520 532	-499098854488
SPT(16)	2601329780794099613	0 30 44 48 84 150 174 188 216 230 254 320 356 360 374 404	-437764107714
STPT(10)	2601330033643824149	0 2 42 44 60 62 78 80 120 122	-184914383178
STPT(10)	2601330245656810637	0 2 30 32 72 74 114 116 144 146	27098603310
SPT(16)	2601330279960005527	0 36 52 64 70 84 112 136 150 174 202 216 222 234 250 286	61401798200
TPT(14)	2601330517653605027	0 2 24 26 54 56 90 92 132 134 210 212 252 254	299095397700
SPT(16)	2601330599841138509	0 32 60 102 110 128 144 180 182 218 234 252 260 302 330 362	381282931182
STPT(10)	2601330724641859121	0 2 6 8 18 20 30 32 36 38	506083651794