Prime p₀= 2197760387036500157 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 46 2 106 2 10 2 16 2 22 2 (?)
a_n: 0 2 54 56 102 104 210 212 222 224 240 242 264 266
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: JayPi
db: batch=81, k=14, 52 46 106 10 16 22

SPT(20)	2197759613501740033	0 54 58 70 96 106 114 124 184 208 246 270 330 340 348 358 384 396 400 454	-773534760124
STPT(10)	2197759672114461737	0 2 60 62 72 74 84 86 144 146	-714922038420
SPT(16)	2197759781229989423	0 54 74 80 110 174 234 236 264 266 326 390 420 426 446 500	-605806510734
SPT(16)	2197759791154858247	0 14 20 32 42 56 66 84 272 290 300 314 324 336 342 356	-595881641910
SPT(16)	2197759838982469207	0 36 64 70 76 84 96 136 150 190 202 210 216 222 250 286	-548054030950
STPT(10)	2197760267874042239	0 2 18 20 30 32 42 44 60 62	-119162457918
SPT(16)	2197760484705827309	0 60 78 92 102 132 158 168 182 192 218 248 258 272 290 350	97669327152
SPT(16)	2197761517356303007	0 4 6 30 72 82 102 126 160 184 204 214 256 280 282 286	1130319802850
SPT(16)	2197761528208291657	0 10 54 96 100 120 166 280 360 474 520 540 544 586 630 640	1141171791500
STPT(10)	2197761531350732531	0 2 30 32 60 62 90 92 120 122	1144314232374
SPT(16)	2197761824721806071	0 28 42 82 100 102 108 112 126 130 136 138 156 196 210 238	1437685305914