Prime p₀= 2471978106591472811 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 76 2 10 2 76 2 10 2 76 2 (?)
a_n: 0 2 78 80 90 92 168 170 180 182 258 260
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: 260
Found by: JayPi
db: batch=82, k=12, 2 76 2 10 2 76

SPT(18)	2471977004402261453	0 38 66 74 80 110 144 158 186 188 216 230 264 294 300 308 336 374	-1102189211358
STPT(12)	2471977015151378069	0 2 60 62 102 104 108 110 150 152 210 212	-1091440094742
STPT(10)	2471977039138371431	0 2 6 8 18 20 30 32 36 38	-1067453101380
SPT(16)	2471977106402572753	0 4 24 34 90 124 130 138 160 168 174 208 264 274 294 298	-1000188900058
SPT(16)	2471977492003185619	0 24 34 48 112 160 180 192 220 232 252 300 364 378 388 412	-614588287192
SPT(16)	2471978072748548053	0 34 54 76 106 126 144 166 204 226 244 264 294 316 336 370	-33842924758
SPT(16)	2471978122015021801	0 12 46 48 70 88 112 130 168 186 210 228 250 252 286 298	15423548990
STPT(10)	2471978401328162759	0 2 48 50 90 92 132 134 180 182	294736689948
SPT(16)	2471979211007471647	0 16 42 52 60 72 76 102 124 150 154 166 174 184 210 226	1104415998836
STPT(10)	2471979602955105557	0 2 30 32 72 74 114 116 144 146	1496363632746
SPT(16)	2471979975281477891	0 18 32 48 60 72 156 192 206 242 326 338 350 366 380 398	1868690005080