Prime p₀= 2791023550677601439 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: [SG-FC] hl
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2791021176854373473	0 6 8 36 54 110 138 150 164 176 204 260 278 306 308 314	-2373823227966
SPT(16)	2791021177053797053	0 46 60 70 84 88 136 186 268 318 366 370 384 394 408 454	-2373623804386
SPT(16)	2791022124968799719	0 62 74 92 114 132 134 152 162 180 182 200 222 240 252 314	-1425708801720
STPT(10)	2791022431831391237	0 2 30 32 42 44 54 56 84 86	-1118846210202
TPT(14)	2791022612628504377	0 2 54 56 60 62 114 116 132 134 180 182 300 302	-938049097062
STPT(10)	2791023111534007277	0 2 42 44 72 74 102 104 144 146	-439143594162
SPT(16)	2791023791606747287	0 16 22 64 66 70 84 90 136 142 156 160 162 204 210 226	240929145848
SPT(16)	2791023955181932699	0 12 22 28 82 88 94 102 130 138 144 150 204 210 220 232	404504331260
SPT(16)	2791023962860301603	0 8 36 44 50 80 116 140 144 168 204 234 240 248 276 284	412182700164
STPT(10)	2791024025359731521	0 2 6 8 48 50 90 92 96 98	474682130082
TPT(14)	2791024112759792849	0 2 18 20 42 44 102 104 162 164 240 242 252 254	562082191410