Prime p₀= 2678577048848592779 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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 16 2 10 2

STPT(10)	2678575390283405057	0 2 30 32 42 44 54 56 84 86	-1658565187722
SPT(16)	2678575441715935793	0 6 14 36 44 48 80 84 170 174 206 210 218 240 248 254	-1607132656986
STPT(10)	2678575806435000671	0 2 36 38 108 110 180 182 216 218	-1242413592108
SPT(16)	2678575902520618939	0 4 12 42 90 114 142 144 208 210 238 262 310 340 348 352	-1146327973840
SPT(16)	2678575986660335959	0 30 58 64 148 162 184 222 280 318 340 354 438 444 472 502	-1062188256820
SPT(16)	2678576088902886439	0 10 22 72 124 130 142 154 180 192 204 210 262 312 324 334	-959945706340
STPT(10)	2678577326731437797	0 2 12 14 42 44 72 74 84 86	277882845018
SPT(16)	2678577487474198561	0 6 10 16 30 40 72 82 186 196 228 238 252 258 262 268	438625605782
SPT(16)	2678577609172741831	0 66 88 100 102 126 130 142 156 168 172 196 198 210 232 298	560324149052
TPT(14)	2678577710159703017	0 2 30 32 42 44 54 56 162 164 180 182 222 224	661311110238
SPT(16)	2678577974151473543	0 8 78 114 120 144 146 156 188 198 200 224 230 266 336 344	925302880764