Prime p₀= 2565889932750934457 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 34 2 28 2 28 2 22 2 16 2 (?)
a_n: 0 2 54 56 90 92 120 122 150 152 174 176 192 194
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: 194
Found by: [SG-FC] hl
db: batch=82, k=14, 52 34 28 28 22 16

SPT(16)	2565889222024801241	0 2 38 56 72 86 128 158 240 270 312 326 342 360 396 398	-710726133216
TPT(14)	2565889390801558571	0 2 78 80 126 128 138 140 156 158 180 182 246 248	-541949375886
STPT(10)	2565889514111142221	0 2 30 32 60 62 90 92 120 122	-418639792236
TPT(14)	2565889584700621721	0 2 48 50 66 68 150 152 168 170 246 248 258 260	-348050312736
STPT(10)	2565889637021063201	0 2 30 32 60 62 90 92 120 122	-295729871256
SPT(16)	2565889821666592769	0 12 24 32 102 104 110 144 188 222 228 230 300 308 320 332	-111084341688
SPT(16)	2565890092875639619	0 24 40 60 90 102 292 334 348 390 580 592 622 642 658 682	160124705162
STPT(10)	2565890177533627697	0 2 30 32 42 44 54 56 84 86	244782693240
SPT(16)	2565890246606616091	0 10 16 66 88 106 126 136 162 172 192 210 232 282 288 298	313855681634
SPT(16)	2565890544958769767	0 30 60 76 126 154 166 256 294 384 396 424 474 490 520 550	612207835310
SPT(16)	2565890705376735509	0 12 24 42 80 84 122 132 170 180 218 222 260 278 290 302	772625801052