Prime p₀= 2576842367263658309 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: JayPi
db: batch=82, k=10, 2 10 2 16 2

SPT(20)	2576841746705742457	0 60 96 166 174 210 226 240 244 256 324 336 340 354 370 406 414 484 520 580	-620557915852
STPT(12)	2576841902202861077	0 2 12 14 30 32 204 206 222 224 234 236	-465060797232
STPT(10)	2576841964499654207	0 2 30 32 72 74 114 116 144 146	-402764004102
TPT(14)	2576841964499654207	0 2 30 32 72 74 114 116 144 146 180 182 222 224	-402764004102
STPT(10)	2576842097000428391	0 2 36 38 78 80 120 122 156 158	-270263229918
SPT(16)	2576842218393444179	0 44 48 78 92 110 162 168 224 230 282 300 314 344 348 392	-148870214130
STPT(10)	2576842478659935929	0 2 42 44 60 62 78 80 120 122	111396277620
SPT(16)	2576842568941126247	0 56 60 110 144 156 170 180 230 240 254 266 300 350 354 410	201677467938
SPT(16)	2576842818938910433	0 84 120 130 136 150 196 198 226 228 274 288 294 304 340 424	451675252124
SPT(16)	2576843520545447203	0 4 58 78 100 138 144 166 168 190 196 234 256 276 330 334	1153281788894
STPT(10)	2576843586438241817	0 2 30 32 72 74 114 116 144 146	1219174583508