Prime p₀= 68183967895807031 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 4 2 40 2 10 2 76 2 (?)
a_n: 0 2 30 32 36 38 78 80 90 92 168 170
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: emoga
db: batch=67, k=12, 28 4 40 10 76

SPT(14)	68183904460396223	0 30 56 74 90 144 156 158 170 224 240 258 284 314	-63435410808
SPT(14)	68183904597525061	0 10 52 72 76 126 142 210 226 276 280 300 342 352	-63298281970
SPT(14)	68183908030787917	0 40 82 120 130 144 166 330 352 366 376 414 456 496	-59865019114
TPT(12)	68183939664438041	0 2 6 8 36 38 78 80 120 122 168 170	-28231368990
SPT(14)	68183947911874309	0 12 30 42 54 58 84 88 114 118 130 142 160 172	-19983932722
SPT(14)	68183949298751369	0 32 84 98 102 150 158 174 182 230 234 248 300 332	-18597055662
SPT(14)	68183972122734469	0 22 28 40 52 82 108 154 180 210 222 234 240 262	4226927438
STPT(10)	68183977187567957	0 2 42 44 72 74 102 104 144 146	9291760926
SPT(14)	68183978053698553	0 36 46 78 90 106 120 124 138 154 166 198 208 244	10157891522
SPT(14)	68184002385615289	0 24 42 64 84 154 162 220 228 298 318 340 358 382	34489808258
SPT(14)	68184013991933831	0 6 56 60 68 80 158 168 246 258 266 270 320 326	46096126800