Prime p₀= 215846116032013601 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 34 2 10 2 16 2 22 2 (?)
a_n: 0 2 30 32 66 68 78 80 96 98 120 122
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: 122
Found by: Megacruncher
db: batch=69, k=12, 28 34 10 16 22

SPT(16)	215846073139910747	0 14 32 74 150 182 240 254 270 284 342 374 450 492 510 524	-42892102854
SPT(14)	215846074454910821	0 8 38 62 140 180 182 228 230 270 348 372 402 410	-41577102780
SPT(14)	215846085541647829	0 30 42 52 108 112 132 178 198 202 258 268 280 310	-30490365772
SPT(14)	215846093998186397	0 32 72 110 126 144 174 182 212 230 246 284 324 356	-22033827204
SPT(14)	215846103962250263	0 20 50 60 74 80 120 248 288 294 308 318 348 368	-12069763338
SPT(14)	215846104577789563	0 16 78 96 108 120 126 190 196 208 220 238 300 316	-11454224038
SPT(14)	215846136345812647	0 10 30 64 72 132 136 180 184 244 252 286 306 316	20313799046
SPT(14)	215846138380696091	0 6 8 60 86 90 92 156 158 162 188 240 242 248	22348682490
SPT(14)	215846144626296913	0 24 46 54 58 136 148 186 198 276 280 288 310 334	28594283312
SPT(14)	215846148840955727	0 42 50 146 164 174 176 210 212 222 240 336 344 386	32808942126
TPT(12)	215846163069280649	0 2 42 44 138 140 162 164 180 182 222 224	47037267048