Prime p₀= 2317862990196319997 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: eclipse99
db: batch=81, k=10, 2 10 2 58 2

STPT(12)	2317861707817195019	0 2 18 20 30 32 228 230 240 242 258 260	-1282379124978
SPT(16)	2317861801506503387	0 2 24 36 42 44 122 156 170 204 282 284 290 302 324 326	-1188689816610
SPT(16)	2317861858998526817	0 6 42 44 56 92 96 120 236 260 264 300 312 314 350 356	-1131197793180
STPT(10)	2317862426496422369	0 2 48 50 90 92 132 134 180 182	-563699897628
SPT(16)	2317862845274108833	0 10 16 30 60 64 84 94 120 130 150 154 184 198 204 214	-144922211164
SPT(16)	2317862849930109193	0 10 18 28 34 54 66 70 144 148 160 180 186 196 204 214	-140266210804
SPT(16)	2317863014725263557	0 6 32 54 102 104 132 140 156 164 192 194 242 264 290 296	24528943560
SPT(16)	2317863737353791113	0 18 48 50 90 116 120 144 170 194 198 224 264 266 296 314	747157471116
STPT(10)	2317863781304237597	0 2 54 56 72 74 90 92 144 146	791107917600
STPT(12)	2317864040644949297	0 2 12 14 54 56 90 92 132 134 144 146	1050448629300
SPT(16)	2317864115364687959	0 2 42 80 102 110 138 164 258 284 312 320 342 380 420 422	1125168367962