Prime p₀= 2312985727424568587 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Drago75
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2312985282697744027	0 10 24 76 84 90 114 136 174 196 220 226 234 286 300 310	-444726824560
SPT(16)	2312985423159984173	0 14 84 104 108 126 128 150 164 186 188 206 210 230 300 314	-304264584414
SPT(16)	2312985438866205167	0 42 50 54 60 72 74 86 150 162 164 176 182 186 194 236	-288558363420
STPT(10)	2312985568071091061	0 2 36 38 78 80 120 122 156 158	-159353477526
STPT(10)	2312985634166716721	0 2 36 38 78 80 120 122 156 158	-93257851866
STPT(10)	2312985700775450837	0 2 54 56 132 134 210 212 264 266	-26649117750
TPT(14)	2312985777738903809	0 2 12 14 42 44 90 92 120 122 180 182 222 224	50314335222
STPT(10)	2312985796702421717	0 2 30 32 60 62 90 92 120 122	69277853130
STPT(10)	2312985833961270509	0 2 18 20 30 32 42 44 60 62	106536701922
SPT(16)	2312985837092696561	0 42 68 92 102 122 162 188 222 248 288 308 318 342 368 410	109668127974
SPT(16)	2312985859700662049	0 2 50 60 78 164 170 182 270 282 288 374 392 402 450 452	132276093462