Prime p₀= 1347967531768731551 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 46 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 108 110 138 140 168 170
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: 170
Found by: JohnMD
db: batch=77, k=12, 2 28 2 28 2 46

SPT(20)	1347966253596097403	0 8 30 36 60 86 146 164 168 176 198 206 210 228 288 314 338 344 366 374	-1278172634148
SPT(16)	1347966621148878587	0 2 6 62 80 96 104 110 126 132 140 156 174 230 234 236	-910619852964
STPT(10)	1347966649135863941	0 2 30 32 60 62 90 92 120 122	-882632867610
SPT(16)	1347966727760110369	0 18 52 90 130 150 168 172 240 244 262 282 322 360 394 412	-804008621182
SPT(16)	1347967475251758419	0 48 60 92 120 188 204 242 270 308 324 392 420 452 464 512	-56516973132
STPT(10)	1347967489410846149	0 2 18 20 30 32 42 44 60 62	-42357885402
SPT(16)	1347968281351722689	0 14 24 32 38 42 60 72 80 92 110 114 120 128 138 152	749582991138
STPT(10)	1347968384899836779	0 2 48 50 60 62 72 74 120 122	853131105228
TPT(14)	1347968426942175191	0 2 60 62 150 152 228 230 396 398 420 422 558 560	895173443640
STPT(10)	1347968929740762137	0 2 54 56 72 74 90 92 144 146	1397972030586
SPT(16)	1347969318279970703	0 14 20 50 56 104 116 120 170 174 186 234 240 270 276 290	1786511239152