Prime p₀= 383166166213049489 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 88 2 40 2 4 2 40 2 58 2 (?)
a_n: 0 2 90 92 132 134 138 140 180 182 240 242
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: 242
Found by: Cruncher Pete
db: batch=70, k=12, 88 40 4 40 58

SPT(14)	383166090863762539	0 22 40 42 82 90 112 168 190 198 238 240 258 280	-75349286950
SPT(14)	383166122327614583	0 14 38 44 110 170 188 216 234 294 360 366 390 404	-43885434906
TPT(12)	383166126974418911	0 2 30 32 60 62 90 92 198 200 336 338	-39238630578
SPT(14)	383166140246130359	0 20 24 110 122 150 158 174 182 210 222 308 312 332	-25966919130
SPT(14)	383166143228788079	0 14 30 42 80 102 168 254 320 342 380 392 408 422	-22984261410
SPT(14)	383166143786808359	0 38 42 48 98 102 110 222 230 234 284 290 294 332	-22426241130
SPT(14)	383166175842786923	0 66 80 86 108 146 170 186 210 248 270 276 290 356	9629737434
STPT(10)	383166186290060597	0 2 54 56 72 74 90 92 144 146	20077011108
SPT(14)	383166190543933403	0 6 26 36 110 144 164 246 266 300 374 384 404 410	24330883914
SPT(16)	383166192091902761	0 2 12 42 50 68 90 110 150 170 192 210 218 248 258 260	25878853272
SPT(14)	383166229064992547	0 54 80 140 146 186 192 224 230 270 276 336 362 416	62851943058