Prime p₀= 356681362743891707 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 58 2 148 2 112 2 64 2 (?)
a_n: 0 2 30 32 90 92 240 242 354 356 420 422
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: 422
Found by: [SG-2W]Kurzer
db: batch=70, k=12, 28 58 148 112 64

SPT(16)	356681288967455693	0 8 86 90 140 170 230 248 306 324 384 414 464 468 546 554	-73776436014
SPT(14)	356681294691452009	0 2 42 138 180 182 188 234 240 242 284 380 420 422	-68052439698
SPT(14)	356681318751835163	0 36 38 86 108 120 140 144 164 176 198 246 248 284	-43992056544
SPT(14)	356681324352096209	0 30 32 42 50 60 78 152 170 180 188 198 200 230	-38391795498
SPT(14)	356681331212913607	0 40 42 66 96 130 180 262 312 346 376 400 402 442	-31530978100
TPT(12)	356681344009374779	0 2 42 44 48 50 90 92 108 110 168 170	-18734516928
SPT(14)	356681375249592577	0 46 60 66 126 160 186 220 246 280 340 346 360 406	12505700870
SPT(14)	356681421478075847	0 2 44 96 104 116 132 164 180 192 200 252 294 296	58734184140
SPT(14)	356681437914018979	0 10 24 40 42 100 142 180 222 280 282 298 312 322	75170127272
SPT(14)	356681439534909199	0 28 90 118 142 162 184 228 250 270 294 322 384 412	76791017492
SPT(14)	356681454732429907	0 16 22 70 84 94 112 114 132 142 156 204 210 226	91988538200