Prime p₀= 813681543619037801 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: amazing
db: batch=73, k=10, 2 34 2 40 2

STPT(10)	813681166803833057	0 2 30 32 72 74 114 116 144 146	-376815204744
STPT(10)	813681203842021127	0 2 30 32 42 44 54 56 84 86	-339777016674
STPT(10)	813681275562807647	0 2 30 32 72 74 114 116 144 146	-268056230154
SPT(16)	813681329504397659	0 8 44 50 54 68 78 158 180 260 270 284 288 294 330 338	-214114640142
SPT(16)	813681341347245389	0 2 18 42 62 72 98 132 140 174 200 210 230 254 270 272	-202271792412
TPT(14)	813681395537598557	0 2 90 92 102 104 114 116 180 182 294 296 300 302	-148081439244
SPT(16)	813681563026694863	0 18 28 40 48 90 106 120 124 138 154 196 204 216 226 244	19407657062
STPT(10)	813681790371209327	0 2 12 14 42 44 72 74 84 86	246752171526
SPT(16)	813682225590163393	0 6 10 28 36 48 90 100 126 136 178 190 198 216 220 226	681971125592
STPT(10)	813682382953636319	0 2 12 14 30 32 48 50 60 62	839334598518
TPT(14)	813682782075775067	0 2 54 56 150 152 162 164 234 236 252 254 264 266	1238456737266