Prime p₀= 2326727746620053207 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: [SG-2W]Kurzer
db: batch=81, k=10, 2 28 2 40 2

SPT(16)	2326726498149517381	0 12 88 136 168 186 208 220 228 240 262 280 312 360 436 448	-1248470535826
STPT(10)	2326726579244641961	0 2 30 32 78 80 126 128 156 158	-1167375411246
SPT(16)	2326726917856388629	0 22 40 58 88 102 114 138 154 178 190 204 234 252 270 292	-828763664578
TPT(14)	2326726970576174867	0 2 30 32 72 74 84 86 114 116 120 122 162 164	-776043878340
STPT(10)	2326727033539467017	0 2 30 32 42 44 54 56 84 86	-713080586190
SPT(16)	2326727295909193561	0 10 70 76 96 108 112 118 150 156 160 172 192 198 258 268	-450710859646
STPT(10)	2326727767818791801	0 2 36 38 78 80 120 122 156 158	21198738594
STPT(10)	2326727820274911017	0 2 30 32 42 44 54 56 84 86	73654857810
STPT(10)	2326728105129519239	0 2 198 200 210 212 222 224 420 422	358509466032
STPT(10)	2326728608550750881	0 2 36 38 78 80 120 122 156 158	861930697674
STPT(10)	2326728930850160561	0 2 6 8 48 50 90 92 96 98	1184230107354