Prime p₀= 1065768039479759351 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 4 2 28 2 40 2 40 2 4 2 (?)
a_n: 0 2 30 32 36 38 66 68 108 110 150 152 156 158
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: 158
Found by: stoneageman
db: batch=76, k=14, 28 4 28 40 40 4

SPT(18)	1065766722651393859	0 22 52 130 148 162 204 214 228 304 318 328 370 384 402 480 510 532	-1316828365492
STPT(10)	1065767059734212201	0 2 36 38 78 80 120 122 156 158	-979745547150
TPT(14)	1065767082090027587	0 2 12 14 30 32 180 182 240 242 282 284 294 296	-957389731764
SPT(16)	1065767404241505569	0 102 114 120 170 192 258 270 272 284 350 372 422 428 440 542	-635238253782
SPT(16)	1065767806667516527	0 24 84 112 150 190 196 256 330 390 396 436 474 502 562 586	-232812242824
SPT(16)	1065767980189014491	0 2 32 42 48 72 78 90 98 110 116 140 146 156 186 188	-59290744860
SPT(16)	1065768121891425053	0 14 26 126 140 150 156 206 264 314 320 330 344 444 456 470	82411665702
STPT(10)	1065768143956338047	0 2 30 32 42 44 54 56 84 86	104476578696
SPT(16)	1065768262001754301	0 18 22 28 58 78 112 130 138 156 190 210 240 246 250 268	222521994950
STPT(12)	1065768547743412649	0 2 12 14 42 44 48 50 78 80 90 92	508263653298
TPT(14)	1065768627536502479	0 2 30 32 72 74 78 80 168 170 198 200 252 254	588056743128