Prime p₀= 2570464659428302421 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: JayPi
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2570462230455454967	0 24 56 66 92 134 176 192 224 240 282 324 350 360 392 416	-2428972847454
STPT(10)	2570462861311899821	0 2 36 38 78 80 120 122 156 158	-1798116402600
SPT(16)	2570463487617359933	0 8 56 68 78 96 98 140 216 258 260 278 288 300 348 356	-1171810942488
STPT(12)	2570464125891129437	0 2 12 14 54 56 90 92 132 134 144 146	-533537172984
STPT(10)	2570464132591910309	0 2 18 20 30 32 42 44 60 62	-526836392112
SPT(16)	2570464248582425491	0 6 10 46 52 60 66 70 132 136 142 150 156 192 196 202	-410845876930
SPT(16)	2570464816616522827	0 22 36 66 100 102 130 136 156 162 190 192 226 256 270 292	157188220406
SPT(16)	2570465026020034501	0 12 28 72 100 142 166 168 220 222 246 288 316 360 376 388	366591732080
SPT(16)	2570465338780609211	0 2 6 56 60 62 68 78 110 120 126 128 132 182 186 188	679352306790
STPT(10)	2570465351418693227	0 2 30 32 72 74 114 116 144 146	691990390806
STPT(10)	2570465394917434757	0 2 12 14 42 44 72 74 84 86	735489132336