Prime p₀= 2593185809337557039 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 34 2 82 2 4 2 28 2 142 2 (?)
a_n: 0 2 12 14 48 50 132 134 138 140 168 170 312 314
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, 10 34 82 4 28 142

SPT(13)	2593183725317899171	0 72 90 96 150 210 216 222 282 336 342 360 432	-2084019657868
TPT(14)	2593184096342610347	0 2 24 26 90 92 150 152 210 212 234 236 300 302	-1712994946692
STPT(10)	2593184487384273491	0 2 36 38 78 80 120 122 156 158	-1321953283548
STPT(10)	2593184490061279991	0 2 30 32 60 62 90 92 120 122	-1319276277048
SPT(16)	2593184644481522407	0 4 40 54 70 94 96 106 144 154 156 180 196 210 246 250	-1164856034632
SPT(16)	2593185629758311817	0 60 82 106 124 126 136 144 172 180 190 192 210 234 256 316	-179579245222
STPT(12)	2593186759391060939	0 2 12 14 42 44 120 122 150 152 162 164	950053503900
SPT(16)	2593186793772702121	0 12 18 22 78 102 168 222 256 310 376 400 456 460 466 478	984435145082
STPT(10)	2593186988559137207	0 2 30 32 42 44 54 56 84 86	1179221580168
SPT(16)	2593187255886711719	0 42 92 110 114 152 180 204 218 242 270 308 312 330 380 422	1446549154680
STPT(10)	2593187616303051137	0 2 30 32 42 44 54 56 84 86	1806965494098