Prime p₀= 2574346977679787309 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2574346046682902179	0 24 58 84 88 108 120 130 132 142 154 174 178 204 238 262	-930996885130
STPT(10)	2574346252880431451	0 2 36 38 78 80 120 122 156 158	-724799355858
STPT(10)	2574346263386089457	0 2 42 44 72 74 102 104 144 146	-714293697852
SPT(16)	2574346307489269837	0 6 40 52 72 82 84 94 132 142 144 154 174 186 220 226	-670190517472
SPT(16)	2574346466335680541	0 22 36 52 60 66 72 88 120 136 142 148 156 172 186 208	-511344106768
STPT(10)	2574346483290766799	0 2 18 20 30 32 42 44 60 62	-494389020510
TPT(14)	2574347178252077771	0 2 6 8 30 32 90 92 186 188 306 308 336 338	200572290462
SPT(18)	2574347525473913129	0 44 48 120 168 174 180 222 224 288 290 332 338 344 392 464 468 512	547794125820
SPT(16)	2574347619486105833	0 30 38 56 108 128 138 164 240 266 276 296 348 366 374 404	641806318524
STPT(10)	2574347629269706391	0 2 6 8 48 50 90 92 96 98	651589919082
SPT(16)	2574347976555204559	0 12 24 34 40 84 90 94 108 112 118 162 168 178 190 202	998875417250