Prime p₀= 2256151883960955707 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Orange Kid
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2256150977560971427	0 46 54 114 132 184 210 216 250 256 282 334 352 412 420 466	-906399984280
STPT(10)	2256151507348188419	0 2 12 14 30 32 48 50 60 62	-376612767288
SPT(16)	2256151556199740761	0 6 16 18 48 52 60 70 108 118 126 130 160 162 172 178	-327761214946
SPT(16)	2256151591225842281	0 2 6 12 56 60 126 186 236 296 362 366 410 416 420 422	-292735113426
SPT(16)	2256151716818044099	0 10 22 28 42 88 130 132 190 192 234 280 294 300 312 322	-167142911608
STPT(10)	2256151722524565161	0 2 6 8 18 20 30 32 36 38	-161436390546
TPT(14)	2256152118515899361	0 2 18 20 30 32 90 92 156 158 168 170 198 200	234554943654
SPT(16)	2256152700831696281	0 18 60 62 128 170 182 200 240 258 270 312 378 380 422 440	816870740574
SPT(16)	2256152772744364391	0 42 56 102 122 126 150 230 288 368 392 396 416 462 476 518	888783408684
STPT(12)	2256153716809318187	0 2 12 14 54 56 180 182 222 224 234 236	1832848362480
SPT(16)	2256153864511550387	0 2 44 54 80 102 104 182 282 360 362 384 410 420 462 464	1980550594680