Prime p₀= 7225272021186677 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 70 2 34 2 28 2 22 2 (?)
a_n: 0 2 12 14 84 86 120 122 150 152 174 176
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: 176
Found by: [SG-2W]Kurzer
db: batch=62, k=12, 10 70 34 28 22

SPT(14)	7225229247611777	0 20 24 26 36 62 80 96 114 140 150 152 156 176	-42773574900
TPT(12)	7225234392556247	0 2 60 62 84 86 174 176 312 314 324 326	-37628630430
TPT(12)	7225236853689791	0 2 30 32 60 62 96 98 180 182 186 188	-35167496886
SPT(14)	7225243531960589	0 48 114 128 212 252 254 288 290 330 414 428 494 542	-28489226088
SPT(14)	7225243816082741	0 26 30 38 80 122 140 168 186 228 270 278 282 308	-28205103936
SPT(14)	7225251500873911	0 40 42 52 72 136 142 180 186 250 270 280 282 322	-20520312766
SPT(14)	7225285199926447	0 40 42 70 90 112 132 154 174 196 216 244 246 286	13178739770
SPT(14)	7225311293627057	0 42 44 60 72 86 126 170 210 224 236 252 254 296	39272440380
SPT(14)	7225316326684199	0 20 38 78 84 98 120 128 150 164 170 210 228 248	44305497522
SPT(14)	7225319632084769	0 8 12 90 92 138 140 180 182 228 230 308 312 320	47610898092
SPT(14)	7225327396867249	0 10 28 40 48 54 88 90 124 130 138 150 168 178	55375680572