Prime p₀= 248641988150992661 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 4 2 28 2 28 2 22 2 (?)
a_n: 0 2 30 32 36 38 66 68 96 98 120 122
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: 122
Found by: davidBAM
db: batch=69, k=12, 28 4 28 28 22

SPT(14)	248641798473939341	0 8 42 50 60 86 116 132 162 188 198 206 240 248	-189677053320
SPT(14)	248641803271159993	0 28 58 84 114 118 148 156 186 190 220 246 276 304	-184879832668
SPT(14)	248641803584897299	0 10 22 40 52 78 84 118 124 150 162 180 192 202	-184566095362
SPT(14)	248641838717727811	0 6 28 70 76 118 132 166 180 222 228 270 292 298	-149433264850
SPT(14)	248641840005322481	0 2 12 42 50 60 78 92 110 120 128 158 168 170	-148145670180
SPT(14)	248641854106227877	0 10 16 40 64 72 162 184 274 282 306 330 336 346	-134044764784
SPT(14)	248641993481928443	0 24 26 36 66 104 140 144 180 218 248 258 260 284	5330935782
TPT(12)	248641998556821629	0 2 12 14 48 50 60 62 102 104 132 134	10405828968
SPT(16)	248642008086614161	0 12 40 48 82 90 126 132 166 172 208 216 250 258 286 298	19935621500
SPT(16)	248642016547502821	0 12 28 46 66 78 102 166 192 256 280 292 312 330 346 358	28396510160
SPT(14)	248642018316275939	0 14 24 60 62 80 90 92 102 120 122 158 168 182	30165283278