Prime p₀= 2321793566379657257 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)	2321791447031777011	0 16 18 48 58 90 102 130 168 196 208 240 250 280 282 298	-2119347880246
STPT(10)	2321791846777170419	0 2 42 44 120 122 198 200 240 242	-1719602486838
STPT(12)	2321792349032314679	0 2 42 44 120 122 222 224 300 302 342 344	-1217347342578
SPT(16)	2321792449706201233	0 40 46 66 114 144 150 154 156 160 166 196 244 264 270 310	-1116673456024
SPT(16)	2321792809014496291	0 36 48 52 82 118 126 132 166 172 180 216 246 250 262 298	-757365160966
TPT(14)	2321793068965237277	0 2 60 62 90 92 144 146 210 212 222 224 300 302	-497414419980
STPT(10)	2321794039635544217	0 2 84 86 102 104 120 122 204 206	473255886960
SPT(16)	2321794256870882693	0 56 78 98 128 170 188 204 230 246 264 306 336 356 378 434	690491225436
SPT(16)	2321794435995829469	0 38 48 54 164 174 180 234 254 308 314 324 434 440 450 488	869616172212
STPT(10)	2321794506309923387	0 2 30 32 42 44 54 56 84 86	939930266130
STPT(12)	2321794875438299351	0 2 60 62 156 158 180 182 276 278 336 338	1309058642094