Prime p₀= 2546934686176628567 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

STPT(12)	2546933337953288189	0 2 12 14 42 44 48 50 78 80 90 92	-1348223340378
STPT(10)	2546933409891536189	0 2 18 20 30 32 42 44 60 62	-1276285092378
SPT(16)	2546933510990015111	0 26 48 68 90 96 110 116 132 138 152 158 180 200 222 248	-1175186613456
STPT(10)	2546934103771995071	0 2 36 38 78 80 120 122 156 158	-582404633496
SPT(16)	2546934241681642559	0 50 62 80 90 92 102 120 164 182 192 194 204 222 234 284	-444494986008
STPT(10)	2546934426505358579	0 2 18 20 30 32 42 44 60 62	-259671269988
STPT(10)	2546934859468890659	0 2 18 20 30 32 42 44 60 62	173292262092
SPT(16)	2546934863484528521	0 56 68 98 120 138 146 158 198 210 218 236 258 288 300 356	177307899954
STPT(10)	2546935539081425249	0 2 18 20 30 32 42 44 60 62	852904796682
STPT(12)	2546935618176473261	0 2 36 38 78 80 138 140 180 182 216 218	931999844694
STPT(10)	2546935672773294791	0 2 30 32 198 200 366 368 396 398	986596666224