Prime p₀= 2562829970665582757 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-FC] hl
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2562829208705569457	0 2 12 14 132 134 252 254 264 266	-761960013300
STPT(12)	2562829237602645887	0 2 42 44 192 194 210 212 360 362 402 404	-733062936870
STPT(10)	2562829337326515539	0 2 18 20 60 62 102 104 120 122	-633339067218
STPT(10)	2562829480235450639	0 2 48 50 90 92 132 134 180 182	-490430132118
TPT(14)	2562829768209025661	0 2 78 80 90 92 150 152 318 320 360 362 390 392	-202456557096
SPT(16)	2562829926641449019	0 2 32 44 98 104 162 164 168 170 228 234 288 300 330 332	-44024133738
STPT(10)	2562830647499959997	0 2 30 32 42 44 54 56 84 86	676834377240
STPT(10)	2562830843121345491	0 2 30 32 78 80 126 128 156 158	872455762734
SPT(16)	2562831467450401729	0 18 22 28 72 88 112 114 178 180 204 220 264 270 274 292	1496784818972
SPT(16)	2562831506427592489	0 24 42 52 64 94 144 154 168 178 228 258 270 280 298 322	1535762009732
SPT(16)	2562831624873119627	0 2 30 60 104 110 126 132 164 170 186 192 236 266 294 296	1654207536870