Prime p₀= 2083079517044317859 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 52 2 64 2 58 2 22 2 46 2 (?)
a_n: 0 2 18 20 72 74 138 140 198 200 222 224 270 272
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: [SG-2W]Kurzer
db: batch=80, k=14, 16 52 64 58 22 46

SPT(16)	2083076776947592423	0 18 100 126 138 180 210 238 258 286 316 358 370 396 478 496	-2740096725436
STPT(10)	2083076921028737507	0 2 30 32 42 44 54 56 84 86	-2596015580352
SPT(16)	2083077484581397853	0 54 80 84 128 138 146 164 180 198 206 216 260 264 290 344	-2032462920006
SPT(16)	2083077650725008887	0 14 20 32 42 54 80 102 104 126 152 164 174 186 192 206	-1866319308972
STPT(10)	2083077947166137039	0 2 18 20 30 32 42 44 60 62	-1569878180820
TPT(14)	2083079405449063031	0 2 6 8 90 92 126 128 138 140 306 308 330 332	-111595254828
SPT(16)	2083079529240434573	0 60 80 116 128 144 146 150 164 168 170 186 198 234 254 314	12196116714
STPT(10)	2083079636957409677	0 2 30 32 72 74 114 116 144 146	119913091818
SPT(16)	2083079908977726937	0 4 90 120 124 160 196 214 246 264 300 336 340 370 456 460	391933409078
SPT(16)	2083079945393820403	0 46 60 64 76 78 108 144 160 196 226 228 240 244 258 304	428349502544
SPT(16)	2083080200004417269	0 12 24 62 90 104 108 120 152 164 168 182 210 248 260 272	682960099410