Prime p₀= 2256801187995321167 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 146
Found by: Orange Kid
db: batch=81, k=10, 2 28 2 40 2

SPT(16)	2256799064292102059	0 14 20 38 120 132 170 198 224 252 290 302 384 402 408 422	-2123703219108
STPT(10)	2256799078739459039	0 2 42 44 60 62 78 80 120 122	-2109255862128
SPT(16)	2256799294061258623	0 54 94 108 118 130 180 190 234 244 294 306 316 330 370 424	-1893934062544
STPT(10)	2256800147722579577	0 2 30 32 42 44 54 56 84 86	-1040272741590
STPT(10)	2256800150620577447	0 2 30 32 72 74 114 116 144 146	-1037374743720
STPT(10)	2256800894415452921	0 2 6 8 48 50 90 92 96 98	-293579868246
SPT(16)	2256801272691835099	0 40 60 88 132 142 192 208 312 328 378 388 432 460 480 520	84696513932
SPT(16)	2256801285416944411	0 88 90 136 190 292 340 358 360 378 426 528 582 628 630 718	97421623244
TPT(14)	2256801830860677431	0 2 6 8 60 62 90 92 168 170 216 218 240 242	642865356264
SPT(16)	2256801862891972469	0 54 80 108 134 162 164 234 248 318 320 348 374 402 428 482	674896651302
SPT(16)	2256801964032199847	0 50 72 86 116 156 186 264 302 380 410 450 480 494 516 566	776036878680