Prime p₀= 1545360944309607767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: emoga
db: batch=78, k=10, 2 22 2 16 2

SPT(16)	1545359790185204593	0 10 18 54 66 78 96 124 150 178 196 208 220 256 264 274	-1154124403174
SPT(16)	1545360757113904547	0 32 62 102 126 180 194 222 224 252 266 320 344 384 414 446	-187195703220
SPT(16)	1545360780702460643	0 6 20 38 50 108 126 138 176 188 206 264 276 294 308 314	-163607147124
SPT(16)	1545360873528051809	0 32 50 102 110 150 182 192 218 228 260 300 308 360 378 410	-70781555958
TPT(14)	1545360873833326157	0 2 12 14 60 62 114 116 180 182 210 212 234 236	-70476281610
SPT(16)	1545360887018301701	0 6 12 18 50 56 60 96 182 218 222 228 260 266 272 278	-57291306066
SPT(16)	1545361162916341157	0 6 24 30 36 84 90 102 104 116 122 170 176 182 200 206	218606733390
SPT(16)	1545361166895555533	0 44 56 60 80 86 108 110 144 146 168 174 194 198 210 254	222585947766
SPT(16)	1545361276831430939	0 14 30 72 152 168 200 210 212 222 254 270 350 392 408 422	332521823172
STPT(10)	1545361436320971749	0 2 18 20 30 32 42 44 60 62	492011363982
STPT(10)	1545361556743501037	0 2 30 32 72 74 114 116 144 146	612433893270