Prime p₀= 23118632491374389 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 16 2 40 2 16 2 40 2 (?)
a_n: 0 2 12 14 30 32 72 74 90 92 132 134
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: ChelseaOilman
db: batch=65, k=12, 10 16 40 16 40

SPT(14)	23118607432793941	0 18 48 70 78 90 102 148 160 172 180 202 232 250	-25058580448
SPT(14)	23118607770910493	0 8 20 24 56 66 74 90 98 108 140 144 156 164	-24720463896
SPT(14)	23118611487175741	0 12 18 52 78 118 148 150 180 220 246 280 286 298	-21004198648
SPT(14)	23118620316247171	0 6 30 60 70 72 130 132 190 192 202 232 256 262	-12175127218
SPT(14)	23118628476227351	0 20 36 42 62 72 78 110 116 126 146 152 168 188	-4015147038
SPT(14)	23118631627837783	0 10 46 66 78 94 100 114 120 136 148 168 204 214	-863536606
SPT(14)	23118644717331307	0 4 22 30 82 96 130 156 190 204 256 264 282 286	12225956918
TPT(12)	23118646710829721	0 2 6 8 18 20 30 32 36 38 120 122	14219455332
STPT(10)	23118646710829721	0 2 6 8 18 20 30 32 36 38	14219455332
TPT(12)	23118651574646519	0 2 78 80 90 92 138 140 150 152 192 194	19083272130
SPT(14)	23118658237740887	0 2 24 50 54 56 72 104 120 122 126 152 174 176	25746366498