Prime p₀= 813746816788281557 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: matali
db: batch=73, k=10, 2 22 2 16 2

STPT(10)	813746098687034789	0 2 48 50 90 92 132 134 180 182	-718101246768
SPT(16)	813746102201755757	0 2 12 42 56 66 86 90 146 150 170 180 194 224 234 236	-714586525800
STPT(10)	813746135385725147	0 2 12 14 72 74 132 134 144 146	-681402556410
STPT(10)	813746229778234169	0 2 18 20 30 32 42 44 60 62	-587010047388
SPT(16)	813746434493057983	0 24 58 64 108 168 210 228 280 298 340 400 444 450 484 508	-382295223574
SPT(16)	813746576457123461	0 62 96 102 132 140 146 188 270 312 318 326 356 362 396 458	-240331158096
SPT(16)	813747017111933771	0 38 66 80 102 132 146 168 170 192 206 236 258 272 300 338	200323652214
SPT(16)	813747231922384171	0 12 46 52 90 100 102 112 156 166 168 178 216 222 256 268	415134102614
STPT(10)	813747259656639569	0 2 18 20 30 32 42 44 60 62	442868358012
TPT(14)	813747308952251411	0 2 6 8 78 80 150 152 210 212 246 248 306 308	492163969854
STPT(10)	813747538289028557	0 2 30 32 42 44 54 56 84 86	721500747000