Prime p₀= 6129466638045689 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 34 2 28 2 178 2 112 2 (?)
a_n: 0 2 42 44 78 80 108 110 288 290 402 404
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: 404
Found by: paulteo
db: batch=62, k=12, 40 34 28 178 112

SPT(16)	6129451906330897	0 16 30 36 40 42 84 96 100 112 154 156 160 166 180 196	-14731714792
TPT(12)	6129456586480229	0 2 30 32 78 80 90 92 132 134 162 164	-10051565460
SPT(14)	6129459559252597	0 42 52 66 106 124 126 220 222 240 280 294 304 346	-7078793092
TPT(12)	6129463083458987	0 2 24 26 30 32 42 44 60 62 72 74	-3554586702
SPT(14)	6129463320188657	0 42 54 96 164 170 182 234 246 252 320 362 374 416	-3317857032
SPT(14)	6129463370016757	0 12 30 46 52 82 84 112 114 144 150 166 184 196	-3268028932
SPT(14)	6129469004924453	0 6 14 48 84 128 140 144 156 200 236 270 278 284	2366878764
SPT(14)	6129484333457671	0 28 72 82 90 118 138 142 162 190 198 208 252 280	17695411982
SPT(14)	6129487734238009	0 10 18 58 64 70 78 94 102 108 114 154 162 172	21096192320
SPT(14)	6129495539982677	0 14 32 56 80 104 120 146 162 186 210 234 252 266	28901936988
STPT(10)	6129507724234637	0 2 12 14 42 44 72 74 84 86	41086188948