Prime p₀= 1294474650107460551 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 88 2 64 2 22 2 16 2 10 2 (?)
a_n: 0 2 30 32 120 122 186 188 210 212 228 230 240 242
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: 242
Found by: Cruncher Pete
db: batch=77, k=14, 28 88 64 22 16 10

SPT(16)	1294473966321477869	0 2 14 30 42 90 110 144 170 204 224 272 284 300 312 314	-683785982682
STPT(10)	1294473993098692517	0 2 42 44 72 74 102 104 144 146	-657008768034
STPT(10)	1294474226504176181	0 2 36 38 78 80 120 122 156 158	-423603284370
SPT(18)	1294474465229145559	0 10 28 42 60 88 118 130 154 258 282 294 324 352 370 384 402 412	-184878314992
STPT(10)	1294474530038004611	0 2 6 8 18 20 30 32 36 38	-120069455940
SPT(16)	1294474588962275143	0 16 24 76 96 100 108 126 148 166 174 178 198 250 258 274	-61145185408
SPT(16)	1294474658787462727	0 70 82 106 130 144 154 190 246 282 292 306 330 354 366 436	8680002176
STPT(10)	1294474673759647481	0 2 6 8 48 50 90 92 96 98	23652186930
SPT(16)	1294474877028455099	0 42 54 80 84 90 102 132 152 182 194 200 204 230 242 284	226920994548
SPT(16)	1294475052301341181	0 6 46 88 112 162 192 220 228 256 286 336 360 402 442 448	402193880630
STPT(10)	1294475070438329831	0 2 6 8 18 20 30 32 36 38	420330869280