Prime p₀= 2340194291598306749 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 58 2 4 2 70 2 70 2 (?)
a_n: 0 2 12 14 72 74 132 134 138 140 210 212 282 284
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: 284
Found by: eclipse99
db: batch=81, k=14, 10 58 58 4 70 70

SPT(16)	2340193682724309353	0 8 36 54 104 110 120 146 288 314 324 330 380 398 426 434	-608873997396
SPT(16)	2340193801490417449	0 42 52 54 82 142 198 220 222 244 300 360 388 390 400 442	-490107889300
STPT(10)	2340193898545563647	0 2 30 32 72 74 114 116 144 146	-393052743102
STPT(10)	2340194012104017281	0 2 36 38 78 80 120 122 156 158	-279494289468
SPT(16)	2340194109356892071	0 2 12 26 66 78 180 188 240 248 350 362 402 416 426 428	-182241414678
STPT(10)	2340194187468702749	0 2 18 20 30 32 42 44 60 62	-104129604000
SPT(16)	2340194313947478151	0 118 142 160 228 232 256 268 300 312 336 340 408 426 450 568	22349171402
SPT(16)	2340194403932586899	0 12 42 54 60 62 68 74 78 84 90 92 98 110 140 152	112334280150
STPT(10)	2340194495667964721	0 2 30 32 78 80 126 128 156 158	204069657972
SPT(16)	2340194682832956643	0 30 40 94 100 108 126 180 184 238 256 264 270 324 334 364	391234649894
SPT(16)	2340195158127910129	0 30 70 72 118 138 168 204 208 244 274 294 340 342 382 412	866529603380