Prime p₀= 749571706652293157 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 58 2 34 2 58 2 22 2 (?)
a_n: 0 2 24 26 84 86 120 122 180 182 204 206
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: 206
Found by: [SG]steini
db: batch=73, k=12, 2 22 2 58 2 34

TPT(14)	749570615772009047	0 2 84 86 132 134 144 146 174 176 210 212 252 254	-1090880284110
STPT(10)	749570696733770297	0 2 12 14 42 44 72 74 84 86	-1009918522860
SPT(16)	749570979324946663	0 16 54 58 76 84 126 166 198 238 280 288 306 310 348 364	-727327346494
TPT(14)	749571234106212281	0 2 126 128 150 152 156 158 348 350 366 368 498 500	-472546080876
STPT(10)	749571500882276099	0 2 18 20 30 32 42 44 60 62	-205770017058
SPT(16)	749571661336181083	0 24 64 108 126 144 196 204 220 228 280 298 316 360 400 424	-45316112074
SPT(16)	749572124333824993	0 4 6 36 48 76 88 154 270 336 348 376 388 418 420 424	417681531836
STPT(12)	749572209075876839	0 2 48 50 78 80 90 92 120 122 168 170	502423583682
SPT(16)	749572217574673099	0 18 28 118 120 132 148 168 172 192 208 220 222 312 322 340	510922379942
STPT(10)	749572258681064681	0 2 30 32 78 80 126 128 156 158	552028771524
SPT(16)	749572292827856977	0 34 66 70 96 120 136 150 166 180 196 220 246 250 282 316	586175563820