Prime p₀= 999353437372002677 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: Theadalus
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	999352221345716099	0 24 38 44 78 92 122 144 218 240 270 284 318 324 338 362	-1216026286578
SPT(16)	999352309288136021	0 8 32 36 50 56 66 72 86 92 102 108 122 126 150 158	-1128083866656
SPT(16)	999352379433911819	0 42 92 98 120 138 158 200 222 264 284 302 324 330 380 422	-1057938090858
SPT(16)	999352875341248313	0 14 48 84 96 98 110 146 168 204 216 218 230 266 300 314	-562030754364
SPT(16)	999353077951212469	0 28 52 72 90 108 150 168 184 202 244 262 280 300 324 352	-359420790208
SPT(16)	999353171287176553	0 40 96 148 156 180 184 190 204 210 214 238 246 298 354 394	-266084826124
STPT(10)	999353657776470749	0 2 18 20 30 32 42 44 60 62	220404468072
STPT(10)	999353901001325447	0 2 30 32 42 44 54 56 84 86	463629322770
SPT(16)	999353929086930929	0 12 18 32 102 108 114 144 248 278 284 290 360 374 380 392	491714928252
SPT(16)	999354373071434683	0 4 18 58 66 70 114 118 186 190 234 238 246 286 300 304	935699432006
SPT(16)	999354513054441899	0 62 98 134 138 150 194 200 252 258 302 314 318 354 390 452	1075682439222