Prime p₀= 56165413585843361 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 46 2 76 2 28 2 40 2 16 2 (?)
a_n: 0 2 48 50 126 128 156 158 198 200 216 218
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: 218
Found by: Dario666
db: batch=67, k=12, 46 76 28 40 16

SPT(14)	56165369797124051	0 32 60 78 80 92 146 162 216 228 230 248 276 308	-43788719310
SPT(14)	56165394234349661	0 8 18 20 60 78 86 132 140 158 198 200 210 218	-19351493700
SPT(14)	56165394986625451	0 22 30 52 66 70 88 90 108 112 126 148 156 178	-18599217910
SPT(14)	56165397573637897	0 30 102 112 130 132 136 150 154 156 174 184 256 286	-16012205464
TPT(12)	56165400887252561	0 2 36 38 60 62 78 80 90 92 168 170	-12698590800
SPT(14)	56165411915627291	0 12 26 30 36 50 56 72 78 92 98 102 116 128	-1670216070
SPT(14)	56165417699810803	0 24 46 60 88 118 150 154 186 216 244 258 280 304	4113967442
TPT(12)	56165421694381289	0 2 12 14 42 44 108 110 120 122 162 164	8108537928
TPT(12)	56165425679579141	0 2 6 8 48 50 126 128 156 158 168 170	12093735780
SPT(14)	56165425967092033	0 64 70 114 160 180 208 246 274 294 340 384 390 454	12381248672
SPT(14)	56165433359602051	0 46 58 66 78 130 148 198 216 268 280 288 300 346	19773758690