Prime p₀= 2258932733841906737 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: JayPi
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2258932110722609557	0 4 34 76 96 114 154 156 184 186 226 244 264 306 336 340	-623119297180
STPT(10)	2258932203931835351	0 2 78 80 108 110 138 140 216 218	-529910071386
SPT(16)	2258932460025570977	0 6 30 62 72 96 110 116 240 246 260 284 294 326 350 356	-273816335760
SPT(16)	2258932579315070423	0 18 24 36 74 108 144 150 224 230 266 300 338 350 356 374	-154526836314
TPT(14)	2258932649176022621	0 2 18 20 48 50 90 92 96 98 156 158 168 170	-84665884116
STPT(10)	2258932711235994887	0 2 30 32 60 62 90 92 120 122	-22605911850
SPT(16)	2258932882289449987	0 4 22 34 36 64 76 82 84 90 102 130 132 144 162 166	148447543250
STPT(10)	2258933458966268837	0 2 30 32 42 44 54 56 84 86	725124362100
STPT(10)	2258933609232193709	0 2 12 14 30 32 48 50 60 62	875390286972
STPT(10)	2258933756013022631	0 2 6 8 48 50 90 92 96 98	1022171115894
SPT(16)	2258934126450315079	0 52 84 112 160 184 190 210 232 252 258 282 330 358 390 442	1392608408342