Prime p₀= 797193910303870991 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 4 2 52 2 64 2 88 2 (?)
a_n: 0 2 18 20 30 32 36 38 90 92 156 158 246 248
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: 248
Found by: pah
db: batch=73, k=14, 16 10 4 52 64 88

SPT(16)	797191759348753051	0 6 52 66 72 82 90 96 112 118 126 136 142 156 202 208	-2150955117940
SPT(16)	797191852214715799	0 30 34 70 72 84 100 130 144 174 190 202 204 240 244 274	-2058089155192
SPT(16)	797191999260360461	0 2 60 72 80 86 102 182 216 296 312 318 326 338 396 398	-1911043510530
STPT(10)	797192604922542971	0 2 6 8 18 20 30 32 36 38	-1305381328020
STPT(10)	797192622101450171	0 2 36 38 78 80 120 122 156 158	-1288202420820
SPT(16)	797192917404546847	0 6 22 46 64 66 120 136 270 286 340 342 360 384 400 406	-992899324144
SPT(16)	797193963546383831	0 18 68 96 126 128 156 180 308 332 360 362 392 420 470 488	53242512840
TPT(14)	797194021435883837	0 2 120 122 132 134 150 152 192 194 210 212 264 266	111132012846
STPT(12)	797194098531922319	0 2 18 20 42 44 48 50 72 74 90 92	188228051328
STPT(10)	797194369884927071	0 2 36 38 78 80 120 122 156 158	459581056080
SPT(16)	797194422950673413	0 54 128 138 144 180 198 200 204 206 224 260 266 276 350 404	512646802422