Prime p₀= 2889333767730162629 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2889332788370180479	0 4 22 40 42 54 64 82 132 150 160 172 174 192 210 214	-979359982150
SPT(16)	2889332885334680243	0 8 18 78 86 96 98 104 210 216 218 228 236 296 306 314	-882395482386
STPT(10)	2889332898225669977	0 2 12 14 72 74 132 134 144 146	-869504492652
SPT(16)	2889333247645247489	0 98 120 188 210 240 254 258 290 294 308 338 360 428 450 548	-520084915140
STPT(10)	2889333650879225519	0 2 12 14 30 32 48 50 60 62	-116850937110
STPT(10)	2889333741671196731	0 2 6 8 18 20 30 32 36 38	-26058965898
STPT(10)	2889333963420869051	0 2 6 8 48 50 90 92 96 98	195690706422
SPT(16)	2889334004277690577	0 12 40 60 90 102 114 126 130 142 154 166 196 216 244 256	236547527948
STPT(10)	2889334023607863509	0 2 18 20 30 32 42 44 60 62	255877700880
SPT(16)	2889334130125848877	0 10 36 54 70 72 94 156 160 222 244 246 262 280 306 316	362395686248
SPT(16)	2889334278678696469	0 12 48 84 88 118 124 190 192 258 264 294 298 334 370 382	510948533840