Prime p₀= 2318873115065477249 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 124 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 168 170 180 182 210 212
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: 212
Found by: wadesworld18
db: batch=81, k=12, 2 28 2 10 2 124

SPT(18)	2318872491373607761	0 12 22 30 78 88 100 102 120 148 166 168 180 190 238 246 256 268	-623691869488
TPT(14)	2318872527599247251	0 2 30 32 156 158 186 188 210 212 228 230 240 242	-587466229998
SPT(18)	2318872545386725379	0 8 38 50 72 74 90 98 134 198 234 242 258 260 282 294 324 332	-569678751870
STPT(10)	2318872665974723357	0 2 42 44 72 74 102 104 144 146	-449090753892
SPT(16)	2318872737385691761	0 16 28 66 120 126 148 226 240 318 340 346 400 438 450 466	-377679785488
SPT(16)	2318873058257899271	0 8 38 86 90 120 146 162 176 192 218 248 252 300 330 338	-56807577978
STPT(10)	2318873215666153589	0 2 42 44 60 62 78 80 120 122	100600676340
SPT(13)	2318873326484084849	0 90 150 240 252 300 330 360 408 420 510 570 660	211418607600
SPT(16)	2318873627276312261	0 26 30 102 126 138 210 212 306 308 380 392 416 488 492 518	512210835012
STPT(10)	2318873788214339969	0 2 18 20 30 32 42 44 60 62	673148862720
STPT(10)	2318873875119767129	0 2 48 50 90 92 132 134 180 182	760054289880