Prime p₀= 1231581006916864559 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: mcf2020
db: batch=77, k=10, 2 40 2 46 2

SPT(16)	1231580366538763771	0 28 60 96 162 166 168 186 322 340 342 346 412 448 480 508	-640378100788
TPT(14)	1231580449033710869	0 2 42 44 60 62 78 80 90 92 168 170 240 242	-557883153690
SPT(16)	1231580547524520953	0 6 14 56 68 96 126 144 170 188 218 246 258 300 308 314	-459392343606
STPT(10)	1231580765522667611	0 2 6 8 18 20 30 32 36 38	-241394196948
SPT(18)	1231580767859797981	0 6 30 42 72 90 106 120 132 136 148 162 178 196 226 238 262 268	-239057066578
STPT(10)	1231580926857115517	0 2 42 44 72 74 102 104 144 146	-80059749042
STPT(10)	1231581050183481119	0 2 12 14 90 92 168 170 180 182	43266616560
STPT(10)	1231581177048699707	0 2 24 26 42 44 60 62 84 86	170131835148
STPT(10)	1231581244742740277	0 2 12 14 42 44 72 74 84 86	237825875718
SPT(16)	1231581341896133783	0 90 98 120 144 156 174 176 198 200 218 230 254 276 284 374	334979269224
STPT(10)	1231581351714915737	0 2 30 32 42 44 54 56 84 86	344798051178