Prime p₀= 1065768627536502479 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 4 2 88 2 28 2 52 2 (?)
a_n: 0 2 30 32 72 74 78 80 168 170 198 200 252 254
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: stoneageman
db: batch=76, k=14, 28 40 4 88 28 52

SPT(16)	1065767980189014491	0 2 32 42 48 72 78 90 98 110 116 140 146 156 186 188	-647347487988
TPT(14)	1065768039479759351	0 2 30 32 36 38 66 68 108 110 150 152 156 158	-588056743128
SPT(16)	1065768121891425053	0 14 26 126 140 150 156 206 264 314 320 330 344 444 456 470	-505645077426
STPT(10)	1065768143956338047	0 2 30 32 42 44 54 56 84 86	-483580164432
SPT(16)	1065768262001754301	0 18 22 28 58 78 112 130 138 156 190 210 240 246 250 268	-365534748178
STPT(12)	1065768547743412649	0 2 12 14 42 44 48 50 78 80 90 92	-79793089830
STPT(10)	1065768770825695661	0 2 6 8 48 50 90 92 96 98	143289193182
SPT(16)	1065768851720227121	0 18 38 42 60 120 150 162 188 200 230 290 308 312 332 350	224183724642
STPT(10)	1065768963637935857	0 2 24 26 42 44 60 62 84 86	336101433378
SPT(16)	1065769050709302803	0 6 26 30 110 134 138 164 180 206 210 234 314 318 338 344	423172800324
SPT(16)	1065769500123792553	0 48 90 124 166 178 180 204 220 244 246 258 300 334 376 424	872587290074