Prime p₀= 24315667639920521 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 106 2 142 2 28 2 46 2 (?)
a_n: 0 2 18 20 126 128 270 272 300 302 348 350
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: 350
Found by: Farscape
db: batch=65, k=12, 16 106 142 28 46

SPT(14)	24315619433379467	0 14 30 32 36 96 140 156 200 260 264 266 282 296	-48206541054
SPT(14)	24315634321638461	0 6 18 50 120 126 132 146 152 158 228 260 272 278	-33318282060
SPT(14)	24315636974013997	0 10 42 72 76 82 106 126 150 156 160 190 222 232	-30665906524
TPT(12)	24315660847361579	0 2 78 80 150 152 168 170 180 182 210 212	-6792558942
SPT(14)	24315662420065651	0 6 12 40 48 70 82 96 108 130 138 166 172 178	-5219854870
TPT(12)	24315663258896489	0 2 30 32 60 62 102 104 138 140 228 230	-4381024032
SPT(14)	24315668450273843	0 96 104 126 174 180 198 206 224 230 278 300 308 404	810353322
TPT(12)	24315669199886759	0 2 60 62 78 80 90 92 102 104 198 200	1559966238
SPT(14)	24315671994079747	0 10 30 42 54 64 72 94 102 112 124 136 156 166	4354159226
SPT(14)	24315678437266199	0 44 84 92 98 102 114 158 170 174 180 188 228 272	10797345678
SPT(14)	24315681386905661	0 8 26 32 56 78 90 98 110 132 156 162 180 188	13746985140