Prime p₀= 264548190258726887 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 10 2 16 2 58 2 10 2 (?)
a_n: 0 2 30 32 42 44 60 62 120 122 132 134
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: 134
Found by: Megacruncher
db: batch=69, k=12, 28 10 16 58 10

SPT(14)	264548126376742471	0 22 70 72 82 96 106 162 172 186 196 198 246 268	-63881984416
SPT(14)	264548137870861547	0 2 14 26 44 54 92 114 152 162 180 192 204 206	-52387865340
TPT(12)	264548145398957669	0 2 72 74 138 140 168 170 240 242 252 254	-44859769218
SPT(14)	264548154026169817	0 6 16 46 66 70 150 160 240 244 264 294 304 310	-36232557070
SPT(14)	264548168785350011	0 18 30 38 122 170 182 216 228 276 360 368 380 398	-21473376876
SPT(14)	264548184442590511	0 28 46 72 102 108 112 126 130 136 166 192 210 238	-5816136376
SPT(14)	264548265589101877	0 4 10 36 60 64 70 120 126 130 154 180 186 190	75330374990
SPT(14)	264548273351096543	0 26 50 54 98 110 116 138 144 156 200 204 228 254	83092369656
SPT(14)	264548283011304829	0 40 82 102 120 132 148 192 208 220 238 258 300 340	92752577942
SPT(14)	264548290512746003	0 30 56 126 144 156 194 240 278 290 308 378 404 434	100254019116
SPT(14)	264548291213214839	0 32 42 62 80 84 108 134 158 162 180 200 210 242	100954487952