Prime p₀= 288769717716482027 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 82 2 16 2 28 2 40 2 4 2 (?)
a_n: 0 2 84 86 102 104 132 134 174 176 180 182
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: 182
Found by: mcf2020
db: batch=69, k=12, 82 16 28 40 4

SPT(14)	288769662530495903	0 18 30 60 86 110 126 128 144 168 194 224 236 254	-55185986124
SPT(16)	288769691136306581	0 26 48 56 108 116 158 168 200 210 252 260 312 320 342 368	-26580175446
SPT(14)	288769693234008461	0 18 60 68 90 96 146 150 200 206 228 236 278 296	-24482473566
TPT(14)	288769701605236541	0 2 6 8 30 32 138 140 180 182 186 188 258 260	-16111245486
SPT(14)	288769712225852419	0 30 58 64 112 118 130 132 144 150 198 204 232 262	-5490629608
TPT(12)	288769716613201847	0 2 102 104 114 116 132 134 204 206 210 212	-1103280180
SPT(14)	288769729449766907	0 30 56 80 114 140 150 206 216 242 276 300 326 356	11733284880
SPT(14)	288769743199949953	0 18 36 54 90 100 106 138 144 154 190 208 226 244	25483467926
SPT(14)	288769765609248083	0 20 66 86 90 98 110 144 156 164 168 188 234 254	47892766056
SPT(14)	288769769478447503	0 24 30 110 114 116 134 186 204 206 210 290 296 320	51761965476
SPT(14)	288769777032475183	0 16 18 46 58 78 120 154 196 216 228 256 258 274	59315993156