Prime p₀= 2992662859679122109 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 112 2 4 2 112 2 16 2 (?)
a_n: 0 2 18 20 132 134 138 140 252 254 270 272
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: 272
Found by: [SG-2W]Kurzer
db: batch=82, k=12, 2 16 2 112 2 4

SPT(16)	2992662278128893739	0 64 78 84 120 144 178 180 202 204 238 262 298 304 318 382	-581550228370
SPT(18)	2992662392818476979	0 28 52 84 100 108 112 160 222 280 342 390 394 402 418 450 474 502	-466860645130
SPT(16)	2992662495133372459	0 10 58 72 114 142 150 154 198 202 210 238 280 294 342 352	-364545749650
TPT(14)	2992662547891386989	0 2 12 14 48 50 168 170 210 212 288 290 318 320	-311787735120
SPT(16)	2992662558592885553	0 18 50 86 114 126 168 224 300 356 398 410 438 474 506 524	-301086236556
STPT(10)	2992662768308225561	0 2 6 8 48 50 90 92 96 98	-91370896548
STPT(10)	2992663145568946481	0 2 30 32 78 80 126 128 156 158	285889824372
TPT(14)	2992663254261572657	0 2 54 56 150 152 210 212 234 236 294 296 384 386	394582450548
SPT(16)	2992663522454596817	0 32 36 56 114 120 144 210 296 362 386 392 450 470 474 506	662775474708
SPT(16)	2992663573637923441	0 6 46 70 72 88 138 148 180 190 240 256 258 282 322 328	713958801332
STPT(10)	2992663824335374199	0 2 48 50 90 92 132 134 180 182	964656252090