Prime p₀= 2356640381088408797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 40 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 174 176 264 266
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: 266
Found by: Xenon
db: batch=81, k=10, 2 88 2 40 2

SPT(16)	2356639016538241889	0 38 60 68 98 102 188 198 224 234 320 324 354 362 384 422	-1364550166908
SPT(16)	2356639048759555451	0 42 90 108 146 162 246 248 300 302 386 402 440 458 506 548	-1332328853346
TPT(14)	2356639101223441367	0 2 90 92 102 104 114 116 264 266 312 314 342 344	-1279864967430
STPT(10)	2356639432013387579	0 2 42 44 60 62 78 80 120 122	-949075021218
SPT(16)	2356639635393156469	0 10 72 94 102 124 142 154 210 222 240 262 270 292 354 364	-745695252328
TPT(16)	2356640103072690287	0 2 84 86 150 152 180 182 222 224 444 446 450 452 492 494	-278015718510
TPT(14)	2356640702475718661	0 2 30 32 78 80 120 122 156 158 168 170 228 230	321387309864
STPT(10)	2356640764646074097	0 2 42 44 102 104 162 164 204 206	383557665300
STPT(10)	2356640848775207567	0 2 24 26 42 44 60 62 84 86	467686798770
STPT(12)	2356640974821361157	0 2 12 14 42 44 180 182 210 212 222 224	593732952360
SPT(16)	2356641344887868993	0 80 84 96 104 110 140 146 168 174 204 210 218 230 234 314	963799460196