Prime p₀= 2464400087756312129 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 76 2 40 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 132 134 210 212 222 224
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 224
Found by: JayPi
db: batch=82, k=12, 2 10 2 76 2 40

TPT(14)	2464398736517591327	0 2 24 26 114 116 240 242 252 254 390 392 474 476	-1351238720802
SPT(16)	2464398934323550703	0 26 36 78 86 90 96 120 266 290 296 300 308 350 360 386	-1153432761426
SPT(16)	2464398984314923079	0 8 50 78 98 140 144 180 182 218 222 264 284 312 354 362	-1103441389050
TPT(14)	2464399133166208739	0 2 48 50 132 134 138 140 198 200 252 254 312 314	-954590103390
SPT(16)	2464399175118144107	0 12 26 30 32 42 44 56 60 72 74 84 86 90 104 116	-912638168022
STPT(12)	2464399893903626069	0 2 18 20 30 32 198 200 210 212 228 230	-193852686060
STPT(12)	2464400429184525119	0 2 30 32 78 80 120 122 168 170 198 200	341428212990
TPT(14)	2464400577994174187	0 2 84 86 144 146 210 212 222 224 240 242 252 254	490237862058
STPT(10)	2464400953325576801	0 2 6 8 48 50 90 92 96 98	865569264672
STPT(10)	2464401000975770567	0 2 12 14 42 44 72 74 84 86	913219458438
SPT(16)	2464401282480064219	0 10 42 88 90 108 120 162 178 220 232 250 252 298 330 340	1194723752090