Prime p₀= 2412390011362843397 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Penguin
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2412388429312761503	0 66 74 80 84 90 156 168 206 218 284 290 294 300 308 374	-1582050081894
STPT(10)	2412388608524500169	0 2 48 50 90 92 132 134 180 182	-1402838343228
STPT(10)	2412388885569833627	0 2 30 32 72 74 114 116 144 146	-1125793009770
STPT(10)	2412388890376258247	0 2 24 26 42 44 60 62 84 86	-1120986585150
SPT(16)	2412389127696853007	0 42 44 50 86 92 96 120 146 170 174 180 216 222 224 266	-883665990390
SPT(16)	2412390000781253897	0 32 50 56 104 120 140 150 176 186 206 222 270 276 294 326	-10581589500
SPT(16)	2412390432924203467	0 4 10 22 30 60 136 142 234 240 316 346 354 366 372 376	421561360070
SPT(16)	2412391136181672379	0 4 12 18 40 70 82 118 144 180 192 222 244 250 258 262	1124818828982
SPT(16)	2412391156212126979	0 18 58 84 102 108 114 120 172 178 184 190 208 234 274 292	1144849283582
SPT(16)	2412391623135037337	0 56 66 80 140 162 176 182 384 390 404 426 486 500 510 566	1611772193940
STPT(10)	2412391846993874531	0 2 30 32 60 62 90 92 120 122	1835631031134