Prime p₀= 261350237661504161 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 196 2 58 2 70 2 34 2 40 2 (?)
a_n: 0 2 198 200 258 260 330 332 366 368 408 410
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: 410
Found by: paulteo
db: batch=69, k=12, 196 58 70 34 40

SPT(14)	261350133734494319	0 42 48 78 102 120 152 210 242 260 284 314 320 362	-103927009842
SPT(16)	261350135357602063	0 28 34 40 54 76 108 114 160 166 198 220 234 240 246 274	-102303902098
SPT(14)	261350188656351269	0 38 48 138 150 168 170 192 194 212 224 314 324 362	-49005152892
SPT(14)	261350191472131009	0 28 58 72 108 208 232 240 264 364 400 414 444 472	-46189373152
SPT(14)	261350220327993851	0 38 42 48 108 116 150 158 192 200 260 266 270 308	-17333510310
TPT(12)	261350223188677241	0 2 36 38 66 68 78 80 150 152 168 170	-14472826920
SPT(14)	261350260155639791	0 12 66 80 86 126 132 146 152 192 198 212 266 278	22494135630
TPT(12)	261350275502333819	0 2 42 44 60 62 102 104 138 140 228 230	37840829658
SPT(14)	261350285123536561	0 10 12 52 78 82 108 142 168 172 198 238 240 250	47462032400
SPT(14)	261350294429493481	0 36 58 72 102 108 112 186 190 196 226 240 262 298	56767989320
TPT(12)	261350299684017821	0 2 30 32 138 140 300 302 420 422 426 428	62022513660