Prime p₀= 1058122225933874999 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: arkiss
db: batch=76, k=10, 2 16 2 40 2

SPT(16)	1058121441614982863	0 56 74 98 108 114 140 150 164 174 200 206 216 240 258 314	-784318892136
STPT(10)	1058121616851641861	0 2 30 32 78 80 126 128 156 158	-609082233138
STPT(10)	1058121671057179361	0 2 6 8 48 50 90 92 96 98	-554876695638
STPT(10)	1058121717931276637	0 2 60 62 72 74 84 86 144 146	-508002598362
STPT(10)	1058121954294674411	0 2 6 8 18 20 30 32 36 38	-271639200588
SPT(16)	1058121978359106229	0 24 34 52 60 88 100 108 154 162 174 202 210 228 238 262	-247574768770
SPT(16)	1058122456011294431	0 38 50 66 72 98 156 170 198 212 270 296 302 318 330 368	230077419432
STPT(10)	1058122472008095551	0 2 30 32 78 80 126 128 156 158	246074220552
STPT(10)	1058122510518597707	0 2 30 32 42 44 54 56 84 86	284584722708
SPT(16)	1058122759229072287	0 36 46 60 90 114 142 144 202 204 232 256 286 300 310 346	533295197288
SPT(16)	1058122806645599699	0 14 20 44 54 68 78 90 98 110 120 134 144 168 174 188	580711724700