Prime p₀= 2823768997320009857 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: [SG-FC] hl
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2823767609330186093	0 14 18 24 44 78 98 108 170 180 200 234 254 260 264 278	-1387989823764
SPT(16)	2823767765369049017	0 44 60 80 102 110 192 212 234 254 336 344 366 386 402 446	-1231950960840
STPT(10)	2823768165928032119	0 2 18 20 30 32 42 44 60 62	-831391977738
TPT(14)	2823768223594678697	0 2 42 44 54 56 84 86 120 122 162 164 234 236	-773725331160
STPT(10)	2823768257550736577	0 2 12 14 72 74 132 134 144 146	-739769273280
SPT(16)	2823768901631370829	0 10 28 54 64 70 108 114 148 154 192 198 208 234 252 262	-95688639028
STPT(10)	2823769196236145147	0 2 12 14 72 74 132 134 144 146	198916135290
SPT(16)	2823769286986201991	0 2 8 26 30 78 90 108 110 128 140 188 192 210 216 218	289666192134
STPT(10)	2823769337092188437	0 2 30 32 42 44 54 56 84 86	339772178580
SPT(16)	2823770237338725599	0 68 74 80 108 114 140 150 158 168 194 200 228 234 240 308	1240018715742
SPT(16)	2823770253808883999	0 42 48 54 74 120 144 162 200 218 242 288 308 314 320 362	1256488874142