Prime p₀= 1052360743365427709 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 16 2 10 2 46 2 40 2 40 2 (?)
a_n: 0 2 90 92 108 110 120 122 168 170 210 212 252 254
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, 88 16 10 46 40 40

SPT(16)	1052359821305782127	0 12 26 42 62 80 116 144 182 210 246 264 284 300 314 326	-922059645582
SPT(16)	1052360054632904209	0 34 40 52 54 100 132 154 180 202 234 280 282 294 300 334	-688732523500
SPT(16)	1052360089402282621	0 58 70 76 102 156 178 190 198 210 232 286 312 318 330 388	-653963145088
SPT(16)	1052360143084738417	0 12 30 52 70 94 102 156 250 304 312 336 354 376 394 406	-600280689292
STPT(10)	1052360259261938321	0 2 36 38 78 80 120 122 156 158	-484103489388
SPT(16)	1052360455511318293	0 18 48 58 60 64 124 190 264 330 390 394 396 406 436 454	-287854109416
STPT(10)	1052360786225340959	0 2 12 14 90 92 168 170 180 182	42859913250
SPT(16)	1052361184445205709	0 12 18 88 132 154 208 258 334 384 438 460 504 574 580 592	441079778000
SPT(16)	1052361407557979791	0 16 18 48 52 60 126 150 178 202 268 276 280 310 312 328	664192552082
SPT(16)	1052362284139361257	0 30 34 60 90 112 132 142 144 154 174 196 226 252 256 286	1540773933548
STPT(12)	1052362333421531579	0 2 18 20 42 44 168 170 192 194 210 212	1590056103870