Prime p₀= 2323787086904838221 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Orange Kid
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2323785378605952773	0 18 54 78 84 176 186 224 240 278 288 380 386 410 446 464	-1708298885448
SPT(16)	2323785419763194083	0 16 30 120 124 166 180 190 204 214 228 270 274 364 378 394	-1667141644138
STPT(10)	2323785641851824749	0 2 18 20 30 32 42 44 60 62	-1445053013472
STPT(10)	2323785731093943197	0 2 54 56 72 74 90 92 144 146	-1355810895024
STPT(10)	2323785912753073127	0 2 60 62 72 74 84 86 144 146	-1174151765094
SPT(16)	2323786785712738943	0 24 38 104 116 128 150 156 158 164 186 198 210 276 290 314	-301192099278
STPT(10)	2323787135594306267	0 2 12 14 42 44 72 74 84 86	48689468046
STPT(10)	2323787155528977401	0 2 6 8 48 50 90 92 96 98	68624139180
STPT(10)	2323787281377481571	0 2 36 38 78 80 120 122 156 158	194472643350
SPT(16)	2323787361312803699	0 68 98 110 152 188 200 222 230 252 264 300 342 354 384 452	274407965478
STPT(10)	2323787669268162257	0 2 30 32 42 44 54 56 84 86	582363324036