Prime p₀= 425443977346065407 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 28 2 46 2 10 2 28 2 (?)
a_n: 0 2 42 44 72 74 120 122 132 134 162 164
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: 164
Found by: desktop64
db: batch=70, k=12, 40 28 46 10 28

SPT(20)	425443909872764437	0 4 36 102 114 142 162 174 232 240 256 264 322 334 354 382 394 460 492 496	-67473300970
SPT(16)	425443922828608721	0 32 50 56 98 102 156 182 186 212 266 270 312 318 336 368	-54517456686
SPT(14)	425443928082907021	0 16 46 52 70 72 82 156 166 168 186 192 222 238	-49263158386
STPT(10)	425443933015567559	0 2 42 44 60 62 78 80 120 122	-44330497848
TPT(12)	425443933015567559	0 2 42 44 60 62 78 80 120 122 162 164	-44330497848
SPT(14)	425443945720234579	0 34 42 52 64 78 84 118 124 138 150 160 168 202	-31625830828
SPT(14)	425443977754197223	0 16 54 64 108 120 150 154 184 196 240 250 288 304	408131816
SPT(14)	425443993506990737	0 24 26 42 44 80 102 164 186 222 224 240 242 266	16160925330
SPT(14)	425443997404720153	0 34 70 90 96 136 150 184 198 238 244 264 300 334	20058654746
SPT(14)	425444027652940129	0 12 40 58 88 100 120 130 150 162 192 210 238 250	50306874722
SPT(14)	425444043462690139	0 4 34 40 70 72 90 94 112 114 144 150 180 184	66116624732