Prime p₀= 2596492475597762669 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 34 2 52 2 64 2 40 2 10 2 (?)
a_n: 0 2 12 14 48 50 102 104 168 170 210 212 222 224
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: 224
Found by: RFGuy_KCCO
db: batch=82, k=14, 10 34 52 64 40 10

SPT(16)	2596491598978495157	0 66 90 144 146 170 200 246 254 300 330 354 356 410 434 500	-876619267512
TPT(14)	2596491716500191329	0 2 72 74 108 110 138 140 150 152 210 212 282 284	-759097571340
SPT(16)	2596492044410526677	0 20 30 122 126 140 150 174 242 266 276 290 294 386 396 416	-431187235992
TPT(14)	2596492151779334267	0 2 30 32 54 56 114 116 180 182 264 266 294 296	-323818428402
STPT(10)	2596492181065267361	0 2 30 32 60 62 90 92 120 122	-294532495308
TPT(14)	2596492302268695119	0 2 18 20 210 212 240 242 252 254 258 260 288 290	-173329067550
SPT(16)	2596492525381630273	0 30 40 46 58 90 166 178 258 270 346 378 390 396 406 436	49783867604
STPT(10)	2596492784926802987	0 2 30 32 42 44 54 56 84 86	309329040318
SPT(16)	2596492843439014483	0 18 40 78 84 108 120 138 220 238 250 274 280 318 340 358	367841251814
SPT(16)	2596492956172521547	0 42 52 70 82 120 130 136 180 186 196 234 246 264 274 316	480574758878
SPT(16)	2596493340870713881	0 10 58 60 76 88 126 136 192 202 240 252 268 270 318 328	865272951212