Prime p₀= 35762013788980007 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 46 2 22 2 4 2 10 2 (?)
a_n: 0 2 12 14 60 62 84 86 90 92 102 104
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: 104
Found by: ChelseaOilman
db: batch=65, k=12, 10 46 22 4 10

SPT(14)	35761975792218649	0 10 42 58 64 72 78 184 190 198 204 220 252 262	-37996761358
TPT(12)	35761988485933637	0 2 12 14 30 32 54 56 90 92 114 116	-25303046370
SPT(14)	35761990637316271	0 12 16 40 66 126 132 136 142 202 228 252 256 268	-23151663736
SPT(14)	35762001173154989	0 50 104 108 140 168 174 194 200 228 260 264 318 368	-12615825018
TPT(12)	35762001738976991	0 2 60 62 168 170 210 212 426 428 480 482	-12050003016
SPT(14)	35762007362107493	0 26 60 80 104 206 216 284 294 396 420 440 474 500	-6426872514
SPT(14)	35762024477766823	0 34 54 60 70 88 126 208 246 264 274 280 300 334	10688786816
SPT(14)	35762042408508191	0 20 48 72 98 110 152 168 210 222 248 272 300 320	28619528184
SPT(14)	35762049837137021	0 2 62 66 80 126 180 182 236 282 296 300 360 362	36048157014
SPT(14)	35762076330001639	0 22 48 70 72 78 100 120 142 148 150 172 198 220	62541021632
SPT(14)	35762087819399009	0 8 60 78 92 98 102 158 162 168 182 200 252 260	74030419002