Prime p₀= 797194021435883837 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 10 2 16 2 40 2 16 2 52 2 (?)
a_n: 0 2 120 122 132 134 150 152 192 194 210 212 264 266
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: pah
db: batch=73, k=14, 118 10 16 40 16 52

SPT(16)	797191999260360461	0 2 60 72 80 86 102 182 216 296 312 318 326 338 396 398	-2022175523376
STPT(10)	797192604922542971	0 2 6 8 18 20 30 32 36 38	-1416513340866
STPT(10)	797192622101450171	0 2 36 38 78 80 120 122 156 158	-1399334433666
SPT(16)	797192917404546847	0 6 22 46 64 66 120 136 270 286 340 342 360 384 400 406	-1104031336990
TPT(14)	797193910303870991	0 2 18 20 30 32 36 38 90 92 156 158 246 248	-111132012846
SPT(16)	797193963546383831	0 18 68 96 126 128 156 180 308 332 360 362 392 420 470 488	-57889500006
STPT(12)	797194098531922319	0 2 18 20 42 44 48 50 72 74 90 92	77096038482
STPT(10)	797194369884927071	0 2 36 38 78 80 120 122 156 158	348449043234
SPT(16)	797194422950673413	0 54 128 138 144 180 198 200 204 206 224 260 266 276 350 404	401514789576
SPT(16)	797195124401541883	0 30 64 78 90 180 208 210 238 240 268 358 370 384 418 448	1102965658046
STPT(10)	797195563414514309	0 2 42 44 90 92 138 140 180 182	1541978630472