Prime p₀= 1972797759508711271 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 52 2 16 2 58 2 40 2 64 2 (?)
a_n: 0 2 36 38 90 92 108 110 168 170 210 212 276 278
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: 278
Found by: Cruncher Pete
db: batch=80, k=14, 34 52 16 58 40 64

TPT(14)	1972795531694082239	0 2 18 20 42 44 60 62 72 74 102 104 222 224	-2227814629032
SPT(16)	1972795640576656783	0 6 40 60 118 138 150 160 186 196 208 228 286 306 340 346	-2118932054488
SPT(16)	1972795728664147367	0 24 30 60 92 140 170 180 224 234 264 312 344 374 380 404	-2030844563904
TPT(14)	1972796482015949111	0 2 30 32 90 92 96 98 156 158 168 170 210 212	-1277492762160
SPT(16)	1972796928257521423	0 4 36 78 106 114 126 166 168 208 220 228 256 298 330 334	-831251189848
STPT(10)	1972797129115189649	0 2 18 20 30 32 42 44 60 62	-630393521622
SPT(16)	1972797841470532507	0 22 34 60 90 106 132 156 160 184 210 226 256 282 294 316	81961821236
TPT(14)	1972798201038038861	0 2 90 92 198 200 210 212 216 218 240 242 258 260	441529327590
SPT(16)	1972798252190682649	0 24 40 94 118 132 144 162 220 238 250 264 288 342 358 382	492681971378
SPT(16)	1972798705755626297	0 2 72 110 180 230 266 272 324 330 366 416 486 524 594 596	946246915026
STPT(10)	1972799609264243657	0 2 60 62 72 74 84 86 144 146	1849755532386