Prime p₀= 2596536689053167569 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 16 2 16 2 10 2 10 2 (?)
a_n: 0 2 18 20 42 44 60 62 78 80 90 92 102 104
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: 104
Found by: RFGuy_KCCO
db: batch=82, k=14, 16 22 16 16 10 10

STPT(10)	2596535521986907727	0 2 30 32 72 74 114 116 144 146	-1167066259842
SPT(16)	2596535564519336189	0 2 24 68 102 128 158 170 192 204 234 260 294 338 360 362	-1124533831380
STPT(10)	2596535782184867987	0 2 90 92 102 104 114 116 204 206	-906868299582
SPT(16)	2596536239624929691	0 12 56 68 90 92 152 176 192 216 276 278 300 312 356 368	-449428237878
STPT(10)	2596536491714740871	0 2 6 8 18 20 30 32 36 38	-197338426698
SPT(16)	2596536526442353673	0 38 50 120 146 156 170 210 254 294 308 318 344 414 426 464	-162610813896
SPT(16)	2596536952092609529	0 70 72 100 108 112 150 190 252 292 330 334 342 370 372 442	263039441960
STPT(10)	2596537183008845117	0 2 30 32 42 44 54 56 84 86	493955677548
SPT(16)	2596537261611598307	0 2 14 80 90 114 140 170 186 216 242 266 276 342 354 356	572558430738
SPT(16)	2596537300771327951	0 42 88 202 228 256 280 312 346 378 402 430 456 570 616 658	611718160382
STPT(10)	2596537364679000539	0 2 18 20 30 32 42 44 60 62	675625832970