Prime p₀= 1999514702403362579 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 34 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 78 80 108 110 120 122
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: TheKillerChicken
db: batch=80, k=12, 2 10 2 28 2 34

STPT(10)	1999514066826612779	0 2 18 20 60 62 102 104 120 122	-635576749800
STPT(10)	1999514152807608917	0 2 30 32 42 44 54 56 84 86	-549595753662
STPT(10)	1999514257498714469	0 2 42 44 60 62 78 80 120 122	-444904648110
SPT(16)	1999514386903583449	0 30 34 42 60 70 72 118 294 340 342 352 370 378 382 412	-315499779130
STPT(10)	1999514461554188471	0 2 6 8 48 50 90 92 96 98	-240849174108
SPT(16)	1999514556475883347	0 102 132 172 196 216 280 286 300 306 370 390 414 454 484 586	-145927479232
SPT(16)	1999515043568072287	0 34 36 76 82 90 102 126 130 154 166 174 180 220 222 256	341164709708
SPT(16)	1999515457062504461	0 6 12 42 86 90 92 120 188 216 218 222 266 296 302 308	754659141882
SPT(16)	1999515694295199631	0 28 36 52 96 106 126 136 162 172 192 202 246 262 270 298	991891837052
SPT(16)	1999516203203475259	0 10 18 114 144 198 228 232 240 244 274 328 358 454 462 472	1500800112680
SPT(16)	1999516324713532099	0 12 40 54 112 114 124 144 178 198 208 210 268 282 310 322	1622310169520