Prime p₀= 1141433356606472129 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 52 2 64 2 52 2 46 2 (?)
a_n: 0 2 48 50 102 104 168 170 222 224 270 272
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: 272
Found by: Theadalus
db: batch=76, k=12, 2 46 2 52 2 64

STPT(10)	1141432088639195777	0 2 30 32 72 74 114 116 144 146	-1267967276352
STPT(10)	1141432261665496811	0 2 6 8 48 50 90 92 96 98	-1094940975318
SPT(16)	1141432359059288591	0 8 32 36 42 86 128 162 176 210 252 296 302 306 330 338	-997547183538
STPT(10)	1141432683278461331	0 2 6 8 18 20 30 32 36 38	-673328010798
SPT(16)	1141432850631151957	0 36 72 112 132 156 172 190 432 450 466 490 510 550 586 622	-505975320172
TPT(14)	1141433208830998751	0 2 90 92 120 122 180 182 246 248 258 260 306 308	-147775473378
SPT(16)	1141433491026950519	0 74 98 138 158 168 170 182 210 222 224 234 254 294 318 392	134420478390
STPT(10)	1141434156907671227	0 2 30 32 42 44 54 56 84 86	800301199098
SPT(16)	1141434700089591029	0 2 20 38 44 62 90 104 108 122 150 168 174 192 210 212	1343483118900
SPT(16)	1141434770079951493	0 40 60 70 94 100 124 126 154 156 180 186 210 220 240 280	1413473479364
SPT(16)	1141434786789736877	0 20 44 54 102 114 162 174 182 194 242 254 302 312 336 356	1430183264748