Prime p₀= 2259054673352584379 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 10 2 94 2 112 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 138 140 252 254 270 272
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: 272
Found by: Landjunge
db: batch=81, k=14, 16 10 10 94 112 16

SPT(16)	2259052033628836049	0 14 30 60 84 108 120 128 240 248 260 284 308 338 354 368	-2639723748330
SPT(16)	2259052642810449481	0 10 22 66 100 102 112 132 256 276 286 288 322 366 378 388	-2030542134898
STPT(10)	2259053076245036039	0 2 42 44 90 92 138 140 180 182	-1597107548340
SPT(16)	2259053226972411241	0 22 28 60 82 100 102 106 162 166 168 186 208 240 246 268	-1446380173138
SPT(16)	2259053938562832421	0 6 72 90 96 118 142 150 208 216 240 262 268 286 352 358	-734789751958
STPT(10)	2259054456668205401	0 2 6 8 18 20 30 32 36 38	-216684378978
SPT(16)	2259055307353374377	0 30 42 50 122 144 156 200 246 290 302 324 396 404 416 446	634000789998
SPT(16)	2259055513046368567	0 16 42 126 144 150 166 216 220 270 286 292 310 394 420 436	839693784188
SPT(16)	2259055545900439667	0 42 62 72 104 122 174 192 254 272 324 342 374 384 404 446	872547855288
SPT(18)	2259056849475366979	0 22 64 82 108 124 150 168 178 234 244 262 288 304 330 348 390 412	2176122782600
STPT(10)	2259057218063297777	0 2 30 32 72 74 114 116 144 146	2544710713398