Prime p₀= 535812978388267667 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 22 2 16 2 106 2 22 2 16 2 (?)
a_n: 0 2 24 26 42 44 150 152 174 176 192 194
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: 194
Found by: phoenicis
db: batch=56, k=12, 22 16 106 22 16

SPT(14)	535812870858793169	0 12 48 120 168 180 204 318 342 354 402 474 510 522	-107529474498
TPT(12)	535812884543237051	0 2 36 38 48 50 60 62 126 128 168 170	-93845030616
SPT(14)	535812902169814931	0 8 48 62 98 120 128 132 140 162 198 212 252 260	-76218452736
SPT(14)	535812903520259879	0 2 8 30 78 140 152 198 210 272 320 342 348 350	-74868007788
TPT(12)	535812960854709521	0 2 90 92 96 98 156 158 168 170 198 200	-17533558146
SPT(14)	535812974615607037	0 4 30 34 52 72 82 144 154 174 192 196 222 226	-3772660630
SPT(14)	535812985211264141	0 8 30 38 42 72 80 90 98 128 132 140 162 170	6822996474
TPT(12)	535813003578363167	0 2 24 26 54 56 72 74 192 194 282 284	25190095500
SPT(14)	535813016164258597	0 6 34 64 76 120 144 172 196 240 252 282 310 316	37775990930
SPT(14)	535813018589657561	0 20 26 30 60 62 86 102 126 128 158 162 168 188	40201389894
SPT(14)	535813032025076699	0 20 24 38 62 84 98 144 158 180 204 218 222 242	53636809032