Prime p₀= 2365039033426043519 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 28 2 10 2 46 2 28 2 22 2 (?)
a_n: 0 2 108 110 138 140 150 152 198 200 228 230 252 254
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: 254
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 106 28 10 46 28 22

SPT(16)	2365037690103458459	0 20 68 74 84 104 108 150 182 224 228 248 258 264 312 332	-1343322585060
SPT(16)	2365038140197897943	0 20 38 114 146 218 234 260 324 350 366 438 470 546 564 584	-893228145576
STPT(10)	2365038415855736981	0 2 6 8 48 50 90 92 96 98	-617570306538
STPT(10)	2365038460224835061	0 2 6 8 18 20 30 32 36 38	-573201208458
SPT(16)	2365038607507552051	0 12 40 60 70 88 106 130 168 192 210 228 238 258 286 298	-425918491468
STPT(10)	2365038754050876179	0 2 12 14 90 92 168 170 180 182	-279375167340
SPT(16)	2365039036436420107	0 82 100 114 124 150 154 166 180 192 196 222 232 246 264 346	3010376588
SPT(16)	2365039075482228149	0 32 42 98 114 182 212 240 242 270 300 368 384 440 450 482	42056184630
SPT(16)	2365039592903561213	0 6 30 66 78 80 98 110 234 246 264 266 278 314 338 344	559477517694
STPT(10)	2365040197090641149	0 2 48 50 60 62 72 74 120 122	1163664597630
STPT(10)	2365040332498354781	0 2 6 8 48 50 90 92 96 98	1299072311262