Prime p₀= 82215743307451727 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 202 2 34 2 40 2 136 2 22 2 (?)
a_n: 0 2 204 206 240 242 282 284 420 422 444 446
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: 446
Found by: RFGuy_KCCO
db: batch=67, k=12, 202 34 40 136 22

SPT(14)	82215688926684437	0 14 60 66 116 146 182 234 270 300 350 356 402 416	-54380767290
SPT(14)	82215702041679263	0 24 30 50 126 128 200 204 276 278 354 374 380 404	-41265772464
SPT(14)	82215702455035453	0 36 78 100 108 118 120 154 156 166 174 196 238 274	-40852416274
SPT(16)	82215718107736639	0 4 10 40 52 84 112 118 144 150 178 210 222 252 258 262	-25199715088
SPT(14)	82215719968214969	0 2 12 42 104 138 174 188 224 258 320 350 360 362	-23339236758
TPT(12)	82215741455354621	0 2 36 38 90 92 156 158 210 212 240 242	-1852097106
SPT(14)	82215750520591213	0 30 70 96 100 138 144 190 196 234 238 264 304 334	7213139486
TPT(12)	82215765193076657	0 2 30 32 132 134 174 176 240 242 282 284	21885624930
TPT(12)	82215768626630381	0 2 78 80 96 98 246 248 288 290 306 308	25319178654
SPT(14)	82215776458929941	0 20 42 72 92 98 150 350 402 408 428 458 480 500	33151478214
TPT(12)	82215780693331247	0 2 30 32 42 44 54 56 72 74 84 86	37385879520