Prime p₀= 2667971786505990659 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: JayPi
db: batch=82, k=10, 2 28 2 28 2

STPT(10)	2667970151208799889	0 2 48 50 90 92 132 134 180 182	-1635297190770
SPT(16)	2667970286756836967	0 2 6 36 72 80 92 146 156 210 222 230 266 296 300 302	-1499749153692
SPT(16)	2667970466639886671	0 20 68 90 96 126 128 156 200 228 230 260 266 288 336 356	-1319866103988
SPT(16)	2667971146012469053	0 28 54 60 84 100 126 136 198 208 234 250 274 280 306 334	-640493521606
STPT(10)	2667971489118859769	0 2 18 20 30 32 42 44 60 62	-297387130890
STPT(10)	2667971587154994941	0 2 6 8 18 20 30 32 36 38	-199350995718
SPT(16)	2667972151192860019	0 18 22 40 48 70 82 120 172 210 222 244 252 270 274 292	364686869360
STPT(10)	2667972249903888227	0 2 24 26 42 44 60 62 84 86	463397897568
SPT(16)	2667972459203937503	0 8 30 36 48 60 66 74 90 98 104 116 128 134 156 164	672697946844
TPT(14)	2667972461355628709	0 2 78 80 168 170 198 200 252 254 282 284 300 302	674849638050
SPT(16)	2667972525350249969	0 24 68 80 102 104 158 164 168 174 228 230 252 264 308 332	738844259310