Prime p₀= 2293613384988736409 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 10 2 88 2 76 2 40 2 (?)
a_n: 0 2 18 20 30 32 42 44 132 134 210 212 252 254
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: paulteo
db: batch=81, k=14, 16 10 10 88 76 40

SPT(16)	2293611622788057239	0 12 38 42 44 84 122 132 170 180 218 258 260 264 290 302	-1762200679170
STPT(10)	2293611696226397681	0 2 36 38 78 80 120 122 156 158	-1688762338728
SPT(16)	2293612048428867739	0 28 42 48 52 72 88 94 108 114 130 150 154 160 174 202	-1336559868670
SPT(16)	2293612085043021553	0 40 54 66 96 178 208 250 264 306 336 418 448 460 474 514	-1299945714856
TPT(14)	2293612662187862759	0 2 30 32 162 164 168 170 240 242 300 302 342 344	-722800873650
SPT(16)	2293613309205265039	0 4 24 42 88 90 94 154 258 318 322 324 370 388 408 412	-75783471370
STPT(10)	2293613448492675719	0 2 48 50 90 92 132 134 180 182	63503939310
STPT(10)	2293613535565052759	0 2 42 44 60 62 78 80 120 122	150576316350
STPT(10)	2293614272364830267	0 2 30 32 72 74 114 116 144 146	887376093858
STPT(10)	2293614538383621977	0 2 30 32 42 44 54 56 84 86	1153394885568
SPT(16)	2293614925801094369	0 18 42 62 78 108 134 168 224 258 284 314 330 350 374 392	1540812357960