Prime p₀= 539864372636804321 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 4 2 28 2 28 2 10 2 (?)
a_n: 0 2 30 32 36 38 66 68 96 98 108 110
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: 110
Found by: phoenicis
db: batch=56, k=12, 28 4 28 28 10

SPT(16)	539864259385005781	0 30 130 150 168 186 196 240 298 342 352 370 388 408 508 538	-113251798540
SPT(14)	539864270497680853	0 76 88 90 118 148 180 196 228 258 286 288 300 376	-102139123468
SPT(14)	539864292808801981	0 12 30 40 108 126 130 138 142 160 228 238 256 268	-79828002340
SPT(14)	539864328032044823	0 66 80 84 86 164 176 198 210 288 290 294 308 374	-44604759498
TPT(12)	539864349439018607	0 2 24 26 42 44 84 86 132 134 180 182	-23197785714
SPT(14)	539864370080411251	0 12 28 30 108 166 178 210 222 280 358 360 376 388	-2556393070
SPT(14)	539864378521120999	0 10 34 78 108 112 114 118 120 124 154 198 222 232	5884316678
SPT(14)	539864407401482791	0 12 52 60 96 118 130 258 270 292 328 336 376 388	34764678470
SPT(14)	539864418820546843	0 46 58 66 100 156 184 240 268 324 358 366 378 424	46183742522
SPT(14)	539864425339573519	0 30 52 54 78 94 120 142 168 184 208 210 232 262	52702769198
SPT(14)	539864425433710031	0 2 12 56 62 90 152 156 218 246 252 296 306 308	52796905710