Prime p₀= 912250129251123977 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: stoneageman
db: batch=76, k=10, 2 28 2 40 2

SPT(16)	912249338694382291	0 10 22 42 58 66 78 82 126 130 142 150 166 186 198 208	-790556741686
STPT(10)	912249417226843481	0 2 30 32 60 62 90 92 120 122	-712024280496
SPT(16)	912249535083061633	0 16 24 66 90 126 184 226 258 300 358 394 418 460 468 484	-594168062344
TPT(14)	912249615980370791	0 2 6 8 90 92 138 140 186 188 270 272 300 302	-513270753186
STPT(10)	912249615980370797	0 2 84 86 132 134 180 182 264 266	-513270753180
STPT(10)	912249943881142199	0 2 48 50 90 92 132 134 180 182	-185369981778
SPT(16)	912250201431095407	0 12 24 30 46 82 96 112 114 130 144 180 196 202 214 226	72179971430
STPT(10)	912250383571849349	0 2 18 20 30 32 42 44 60 62	254320725372
SPT(16)	912250804127822947	0 22 30 42 124 130 132 142 144 154 156 162 244 256 264 286	674876698970
SPT(16)	912251021114929117	0 12 30 66 94 100 186 216 220 250 336 342 370 406 424 436	891863805140
SPT(16)	912251185797133549	0 30 78 90 124 138 174 178 180 184 220 234 268 280 328 358	1056546009572