Prime p₀= 3221459012494211 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 76 2 76 2 22 2 94 2 (?)
a_n: 0 2 30 32 108 110 186 188 210 212 306 308
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: 308
Found by: crashtech
db: batch=61, k=12, 28 76 76 22 94

SPT(14)	3221442960664109	0 2 12 18 90 102 110 132 140 152 224 230 240 242	-16051830102
TPT(12)	3221443757304299	0 2 18 20 42 44 60 62 90 92 102 104	-15255189912
SPT(14)	3221448238629541	0 30 60 70 72 96 130 138 172 196 198 208 238 268	-10773864670
STPT(10)	3221450353272791	0 2 6 8 48 50 90 92 96 98	-8659221420
SPT(20)	3221458201383529	0 30 48 60 64 78 84 100 112 130 132 150 162 178 184 198 202 214 232 262	-811110682
SPT(14)	3221458852430947	0 10 72 76 120 130 172 174 216 226 270 274 336 346	-160063264
STPT(10)	3221462094025541	0 2 36 38 78 80 120 122 156 158	3081531330
SPT(14)	3221467723343951	0 6 42 48 60 68 72 86 90 98 110 116 152 158	8710849740
TPT(12)	3221470577054459	0 2 30 32 78 80 120 122 132 134 162 164	11564560248
SPT(14)	3221476295669117	0 14 24 80 84 92 96 110 114 122 126 182 192 206	17283174906
SPT(14)	3221476920872957	0 32 36 74 102 134 152 174 192 224 252 290 294 326	17908378746