Prime p₀= 1022802419122659359 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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: stoneageman
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1022801500225524797	0 32 50 56 114 134 140 144 152 156 162 182 240 246 264 296	-918897134562
STPT(10)	1022801533736835467	0 2 24 26 42 44 60 62 84 86	-885385823892
SPT(16)	1022801839354260047	0 36 92 104 120 140 150 162 194 206 216 236 252 264 320 356	-579768399312
TPT(14)	1022801879823295469	0 2 42 44 60 62 78 80 210 212 240 242 258 260	-539299363890
STPT(10)	1022802149695388939	0 2 30 32 60 62 90 92 120 122	-269427270420
STPT(10)	1022802306368382731	0 2 36 38 78 80 120 122 156 158	-112754276628
SPT(16)	1022802502272227921	0 26 48 72 96 116 132 138 200 206 222 242 266 290 312 338	83149568562
SPT(16)	1022802885326583527	0 14 26 56 62 134 140 152 204 216 222 294 300 330 342 356	466203924168
STPT(10)	1022803165706011511	0 2 6 8 48 50 90 92 96 98	746583352152
SPT(16)	1022803185202561627	0 12 22 100 124 126 132 174 232 274 280 282 306 384 394 406	766079902268
STPT(10)	1022803378150025567	0 2 30 32 42 44 54 56 84 86	959027366208