Prime p₀= 2350403664261926459 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: Xenon
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2350402056047132567	0 42 54 60 84 102 110 152 162 204 212 230 254 260 272 314	-1608214793892
STPT(10)	2350402156304797031	0 2 66 68 108 110 150 152 216 218	-1507957129428
SPT(16)	2350402278573098923	0 10 46 106 144 150 270 274 276 280 400 406 444 504 540 550	-1385688827536
SPT(16)	2350402855203014011	0 58 88 102 126 166 186 190 228 232 252 292 316 330 360 418	-809058912448
STPT(10)	2350403506147005941	0 2 30 32 78 80 126 128 156 158	-158114920518
SPT(16)	2350403618514256661	0 20 30 38 72 90 126 132 146 152 188 206 240 248 258 278	-45747669798
TPT(14)	2350404443719872179	0 2 12 14 168 170 288 290 300 302 318 320 342 344	779457945720
TPT(14)	2350404486982431161	0 2 6 8 78 80 120 122 228 230 258 260 300 302	822720504702
STPT(10)	2350404730599198101	0 2 6 8 48 50 90 92 96 98	1066337271642
STPT(10)	2350405054403190479	0 2 30 32 60 62 90 92 120 122	1390141264020
STPT(10)	2350405086979755929	0 2 12 14 30 32 48 50 60 62	1422717829470