Prime p₀= 1949786004489516617 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: Merowig
db: batch=80, k=10, 2 10 2 58 2

SPT(16)	1949784641962556701	0 12 70 78 112 126 150 190 198 238 262 276 310 318 376 388	-1362526959916
SPT(16)	1949784673751267279	0 14 62 90 98 110 180 252 260 332 402 414 422 450 498 512	-1330738249338
SPT(16)	1949784795584541053	0 6 8 66 68 98 134 138 176 180 216 246 248 306 308 314	-1208904975564
STPT(10)	1949785216277334641	0 2 6 8 18 20 30 32 36 38	-788212181976
STPT(10)	1949785806285040037	0 2 30 32 72 74 114 116 144 146	-198204476580
TPT(14)	1949785809489688139	0 2 12 14 30 32 90 92 102 104 138 140 180 182	-194999828478
TPT(14)	1949786046435086591	0 2 30 32 90 92 96 98 180 182 186 188 198 200	41945569974
STPT(10)	1949786247550199801	0 2 30 32 120 122 210 212 240 242	243060683184
STPT(10)	1949786265177139601	0 2 36 38 78 80 120 122 156 158	260687622984
SPT(16)	1949786475060073381	0 30 46 58 72 78 102 130 138 166 190 196 210 222 238 268	470570556764
SPT(16)	1949786602060850731	0 36 48 58 90 100 132 142 216 226 258 268 300 310 322 358	597571334114