Prime p₀= 282635760323636177 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 82 2 76 2 100 2 124 2 22 2 (?)
a_n: 0 2 84 86 162 164 264 266 390 392 414 416
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: 416
Found by: [AF>Amis des Lapins] Ceclo
db: batch=69, k=12, 82 76 100 124 22

SPT(14)	282635693216875213	0 4 10 18 34 54 70 108 124 144 160 168 174 178	-67106760964
SPT(14)	282635700361359349	0 34 64 78 102 124 144 148 168 190 214 228 258 292	-59962276828
TPT(12)	282635701846480769	0 2 42 44 48 50 78 80 120 122 132 134	-58477155408
SPT(14)	282635704741886651	0 50 116 152 158 198 218 270 290 330 336 372 438 488	-55581749526
SPT(14)	282635729915376833	0 20 30 56 98 108 114 140 146 156 198 224 234 254	-30408259344
SPT(14)	282635749300716131	0 20 42 68 92 152 180 188 216 276 300 326 348 368	-11022920046
SPT(14)	282635784034088599	0 4 28 108 112 130 132 190 192 210 214 294 318 322	23710452422
SPT(14)	282635789709035569	0 34 72 78 130 178 228 244 294 342 394 400 438 472	29385399392
SPT(16)	282635805538941031	0 16 30 72 108 112 168 178 210 220 276 280 316 358 372 388	45215304854
TPT(12)	282635821818731747	0 2 60 62 120 122 240 242 372 374 384 386	61495095570
TPT(12)	282635823577704029	0 2 12 14 30 32 138 140 240 242 252 254	63254067852