Prime p₀= 2923235319410351117 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: sorcrosc
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2923234299476669527	0 42 66 82 160 192 202 220 252 270 280 312 390 406 430 472	-1019933681590
SPT(16)	2923234427704437811	0 40 46 52 60 90 112 126 142 156 178 208 216 222 228 268	-891705913306
STPT(10)	2923234851483844487	0 2 42 44 72 74 102 104 144 146	-467926506630
SPT(16)	2923234852256778179	0 42 60 72 128 158 168 198 212 242 252 282 338 350 368 410	-467153572938
SPT(16)	2923234874798904737	0 14 30 84 92 102 110 114 122 126 134 144 152 206 222 236	-444611446380
SPT(16)	2923234963321870123	0 36 90 150 154 156 174 196 198 220 238 240 244 304 358 394	-356088480994
STPT(10)	2923235523466061561	0 2 6 8 18 20 30 32 36 38	204055710444
STPT(10)	2923236623276018051	0 2 36 38 78 80 120 122 156 158	1303865666934
TPT(14)	2923237194412907147	0 2 42 44 72 74 84 86 114 116 180 182 240 242	1875002556030
SPT(16)	2923237587316113461	0 6 32 36 60 66 98 102 146 150 182 188 212 216 242 248	2267905762344
SPT(16)	2923237737137867899	0 58 88 114 168 172 178 210 292 324 330 334 388 414 444 502	2417727516782