Prime p₀= 2596492302268695119 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 190 2 28 2 10 2 4 2 28 2 (?)
a_n: 0 2 18 20 210 212 240 242 252 254 258 260 288 290
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: 290
Found by: RFGuy_KCCO
db: batch=82, k=14, 16 190 28 10 4 28

STPT(10)	2596491549905204849	0 2 42 44 60 62 78 80 120 122	-752363490270
SPT(16)	2596491598978495157	0 66 90 144 146 170 200 246 254 300 330 354 356 410 434 500	-703290199962
TPT(14)	2596491716500191329	0 2 72 74 108 110 138 140 150 152 210 212 282 284	-585768503790
SPT(16)	2596492044410526677	0 20 30 122 126 140 150 174 242 266 276 290 294 386 396 416	-257858168442
TPT(14)	2596492151779334267	0 2 30 32 54 56 114 116 180 182 264 266 294 296	-150489360852
STPT(10)	2596492181065267361	0 2 30 32 60 62 90 92 120 122	-121203427758
TPT(14)	2596492475597762669	0 2 12 14 48 50 102 104 168 170 210 212 222 224	173329067550
SPT(16)	2596492525381630273	0 30 40 46 58 90 166 178 258 270 346 378 390 396 406 436	223112935154
STPT(10)	2596492784926802987	0 2 30 32 42 44 54 56 84 86	482658107868
SPT(16)	2596492843439014483	0 18 40 78 84 108 120 138 220 238 250 274 280 318 340 358	541170319364
SPT(16)	2596492956172521547	0 42 52 70 82 120 130 136 180 186 196 234 246 264 274 316	653903826428