Prime p₀= 1232823606830747777 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: xii5ku
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1232822786362991207	0 2 14 24 42 80 152 182 222 252 324 362 380 390 402 404	-820467756570
SPT(16)	1232822904986975209	0 24 138 150 154 160 174 180 202 208 222 228 232 244 358 382	-701843772568
TPT(14)	1232822950598442659	0 2 108 110 120 122 150 152 162 164 198 200 282 284	-656232305118
STPT(10)	1232823136681385867	0 2 72 74 102 104 132 134 204 206	-470149361910
SPT(16)	1232823159345812857	0 6 12 16 36 54 76 82 114 120 142 160 180 184 190 196	-447484934920
TPT(14)	1232823592205193551	0 2 36 38 66 68 96 98 180 182 300 302 318 320	-14625554226
STPT(10)	1232823738394134587	0 2 30 32 42 44 54 56 84 86	131563386810
STPT(10)	1232823818215725941	0 2 6 8 18 20 30 32 36 38	211384978164
SPT(16)	1232823948272859647	0 6 42 50 80 90 134 162 194 222 266 276 306 314 350 356	341442111870
SPT(16)	1232824003238357267	0 12 20 26 72 84 126 132 134 140 182 194 240 246 254 266	396407609490
SPT(16)	1232824176334083563	0 14 90 104 146 150 230 236 294 300 380 384 426 440 516 530	569503335786