Prime p₀= 973393321341177431 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 112 2 4 2 40 2 16 2 82 2 (?)
a_n: 0 2 6 8 120 122 126 128 168 170 186 188 270 272
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: 272
Found by: stoneageman
db: batch=76, k=14, 4 112 4 40 16 82

SPT(16)	973391882430862319	0 20 50 54 62 68 78 132 140 194 204 210 218 222 252 272	-1438910315112
SPT(16)	973392119859232769	0 12 44 80 90 128 132 150 152 170 174 212 222 258 290 302	-1201481944662
TPT(14)	973392302100556211	0 2 66 68 96 98 108 110 156 158 186 188 306 308	-1019240621220
SPT(16)	973392457989086029	0 24 112 144 168 178 192 198 214 220 234 244 268 300 388 412	-863352091402
STPT(10)	973392620597088269	0 2 42 44 90 92 138 140 180 182	-700744089162
SPT(16)	973392968310321467	0 12 24 42 62 102 104 122 132 150 152 192 212 230 242 254	-353030855964
SPT(16)	973393564726162577	0 2 32 54 60 72 104 126 200 222 254 266 272 294 324 326	243384985146
STPT(10)	973393949726305577	0 2 30 32 42 44 54 56 84 86	628385128146
SPT(16)	973394058386836363	0 4 6 18 30 40 84 166 288 370 414 424 436 448 450 454	737045658932
SPT(16)	973394185112491049	0 78 84 152 168 200 264 278 294 308 372 404 420 488 494 572	863771313618
SPT(16)	973394213269008247	0 16 34 72 94 132 142 160 216 234 244 282 304 342 360 376	891927830816