Prime p₀= 973499550433128107 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 16 2 46 2 28 2 28 2 22 2 (?)
a_n: 0 2 114 116 132 134 180 182 210 212 240 242 264 266
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: 266
Found by: Fardringle
db: batch=76, k=14, 112 16 46 28 28 22

SPT(16)	973498223406534641	0 12 30 60 72 102 116 126 272 282 296 326 338 368 386 398	-1327026593466
SPT(16)	973498416266730769	0 10 18 28 72 78 88 108 112 132 142 148 192 202 210 220	-1134166397338
SPT(16)	973498504734253573	0 18 40 48 60 64 70 106 108 144 150 154 166 174 196 214	-1045698874534
STPT(10)	973498870324373759	0 2 42 44 60 62 78 80 120 122	-680108754348
SPT(18)	973499159638611497	0 2 12 30 36 56 80 126 132 170 176 222 246 266 272 290 300 302	-390794516610
SPT(16)	973499387718223181	0 32 56 128 156 168 170 182 216 228 230 242 270 342 366 398	-162714904926
STPT(10)	973499574614159771	0 2 6 8 48 50 90 92 96 98	24181031664
STPT(10)	973499752224601487	0 2 12 14 42 44 72 74 84 86	201791473380
SPT(16)	973500132786798073	0 4 6 18 58 84 88 94 150 156 160 186 226 238 240 244	582353669966
SPT(16)	973500169561752559	0 42 58 88 94 102 138 150 172 184 220 228 234 264 280 322	619128624452
SPT(16)	973500386809719367	0 16 70 180 186 196 210 216 364 370 384 394 400 510 564 580	836376591260