Prime p₀= 2322649586399742569 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: Groo
db: batch=81, k=10, 2 10 2 16 2

SPT(16)	2322649039694762243	0 14 44 54 98 114 164 170 174 180 230 246 290 300 330 344	-546704980326
SPT(16)	2322649100046181421	0 32 42 60 98 110 138 146 342 350 378 390 428 446 456 488	-486353561148
STPT(10)	2322649204880384801	0 2 36 38 78 80 120 122 156 158	-381519357768
STPT(10)	2322649233743766617	0 2 30 32 42 44 54 56 84 86	-352655975952
SPT(16)	2322649321960451707	0 12 40 46 70 142 150 156 196 202 210 282 306 312 340 352	-264439290862
STPT(10)	2322649412037159209	0 2 42 44 90 92 138 140 180 182	-174362583360
SPT(16)	2322650027601420817	0 16 40 54 70 100 102 112 144 154 156 186 202 216 240 256	441201678248
SPT(16)	2322650043781370531	0 12 26 48 72 78 92 128 180 216 230 236 260 282 296 308	457381627962
TPT(14)	2322650086071907607	0 2 12 14 30 32 114 116 120 122 210 212 252 254	499672165038
SPT(16)	2322650649555820789	0 10 30 52 60 102 148 162 178 192 238 280 288 310 330 340	1063156078220
SPT(16)	2322650763865514983	0 6 18 60 66 76 90 94 120 124 138 148 154 196 208 214	1177465772414