Prime p₀= 4814942769757361 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 46 2 46 2 70 2 10 2 64 2 (?)
a_n: 0 2 48 50 96 98 168 170 180 182 246 248
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: 248
Found by: [B@P] Daniel
db: batch=61, k=12, 46 46 70 10 64

SPT(14)	4814916009050893	0 64 70 184 196 204 226 228 250 258 270 384 390 454	-26760706468
SPT(14)	4814926671545569	0 18 28 34 52 54 82 90 118 120 138 144 154 172	-16098211792
SPT(16)	4814933657588753	0 6 14 24 66 110 114 116 138 140 144 188 230 240 248 254	-9112168608
SPT(14)	4814934454615643	0 18 24 30 44 74 114 164 204 234 248 254 260 278	-8315141718
SPT(14)	4814934759302531	0 26 48 50 68 78 92 96 110 120 138 140 162 188	-8010454830
TPT(12)	4814938742840927	0 2 24 26 30 32 42 44 54 56 120 122	-4026916434
SPT(16)	4814946268843379	0 42 54 62 104 110 120 128 144 152 162 168 210 218 230 272	3499086018
SPT(14)	4814950854978347	0 6 30 32 42 66 110 186 230 254 264 266 290 296	8085220986
SPT(14)	4814978585652163	0 4 18 40 66 70 78 136 144 148 174 196 210 214	35815894802
SPT(14)	4814979145457737	0 12 100 102 112 126 132 280 286 300 310 312 400 412	36375700376
SPT(14)	4814981781345763	0 10 34 40 76 96 100 150 154 174 210 216 240 250	39011588402