Prime p₀= 262724619032032007 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 58 2 40 2 46 2 40 2 (?)
a_n: 0 2 30 32 90 92 132 134 180 182 222 224
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: 224
Found by: davidBAM
db: batch=69, k=12, 28 58 40 46 40

SPT(16)	262724521312743359	0 20 42 48 62 90 108 162 188 242 260 288 302 308 330 350	-97719288648
SPT(14)	262724524010355581	0 38 80 96 188 206 210 236 240 258 350 366 408 446	-95021676426
SPT(14)	262724531760468571	0 16 40 82 120 132 166 192 226 238 276 318 342 358	-87271563436
SPT(16)	262724537445981263	0 8 20 38 48 80 86 90 116 120 126 158 168 186 198 206	-81586050744
SPT(14)	262724542442395703	0 20 50 108 120 126 134 150 158 164 176 234 264 284	-76589636304
STPT(10)	262724578189078301	0 2 6 8 18 20 30 32 36 38	-40842953706
SPT(14)	262724638253464151	0 8 50 120 140 150 162 218 230 240 260 330 372 380	19221432144
SPT(14)	262724647675016959	0 4 24 28 48 78 94 144 160 190 210 214 234 238	28642984952
TPT(12)	262724659576571849	0 2 18 20 138 140 198 200 222 224 360 362	40544539842
SPT(14)	262724677973744027	0 110 114 164 222 224 282 332 390 392 450 500 504 614	58941712020
TPT(12)	262724679050378957	0 2 24 26 42 44 60 62 84 86 102 104	60018346950