Prime p₀= 815782682706692807 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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]FX
db: batch=73, k=10, 2 10 2 28 2

TPT(14)	815780450472617471	0 2 48 50 156 158 186 188 228 230 288 290 330 332	-2232234075336
STPT(12)	815780670301472129	0 2 18 20 42 44 48 50 72 74 90 92	-2012405220678
STPT(10)	815780943811830089	0 2 42 44 60 62 78 80 120 122	-1738894862718
STPT(10)	815781336318753767	0 2 30 32 42 44 54 56 84 86	-1346387939040
SPT(16)	815782026470011151	0 12 20 26 36 68 108 158 210 260 300 332 342 348 356 368	-656236681656
SPT(16)	815782594984330531	0 10 22 28 46 78 90 112 126 148 160 192 210 216 228 238	-87722362276
SPT(20)	815782706835680251	0 28 40 42 70 76 82 108 136 150 208 222 250 276 282 288 316 318 330 358	24128987444
STPT(12)	815782842515747759	0 2 48 50 78 80 90 92 120 122 168 170	159809054952
STPT(10)	815783166381810617	0 2 12 14 42 44 72 74 84 86	483675117810
SPT(16)	815783210691815021	0 50 60 90 102 120 122 126 182 186 188 206 218 248 258 308	527985122214
SPT(18)	815783215539524207	0 54 114 126 150 152 170 192 206 240 254 276 294 296 320 332 392 446	532832831400