Prime p₀= 32971160418623129 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 4 2 58 2 70 2 76 2 (?)
a_n: 0 2 42 44 48 50 108 110 180 182 258 260
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: 260
Found by: ChelseaOilman
db: batch=65, k=12, 40 4 58 70 76

SPT(14)	32971105468758967	0 34 60 100 102 112 130 156 174 184 186 226 252 286	-54949864162
SPT(14)	32971132589929543	0 6 10 48 76 136 150 154 168 228 256 294 298 304	-27828693586
SPT(14)	32971141614743821	0 16 30 90 172 220 256 306 342 390 472 532 546 562	-18803879308
TPT(12)	32971142298756911	0 2 18 20 30 32 60 62 96 98 138 140	-18119866218
SPT(14)	32971143771931951	0 22 28 42 70 76 82 126 132 138 166 180 186 208	-16646691178
TPT(12)	32971158739388687	0 2 30 32 42 44 54 56 72 74 102 104	-1679234442
SPT(14)	32971174022554357	0 46 72 90 94 100 126 160 186 192 196 214 240 286	13603931228
SPT(16)	32971177077046891	0 42 46 78 82 96 130 160 168 198 232 246 250 282 286 328	16658423762
SPT(14)	32971180843031071	0 6 28 58 60 70 72 76 78 88 90 120 142 148	20424407942
SPT(16)	32971184963991713	0 6 8 60 98 176 230 236 258 264 318 396 434 486 488 494	24545368584
SPT(14)	32971193150021807	0 14 20 30 32 42 62 84 104 114 116 126 132 146	32731398678