Prime p₀= 2378217666102380561 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 10 2 154 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 186 188 198 200 216 218
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: 218
Found by: [SG-2W]Kurzer
db: batch=81, k=12, 2 16 2 10 2 154

SPT(16)	2378217035841172577	0 24 36 50 56 102 132 176 240 284 314 360 366 380 392 416	-630261207984
STPT(10)	2378217076173938999	0 2 18 20 30 32 42 44 60 62	-589928441562
SPT(16)	2378217416241797719	0 30 78 88 112 120 172 184 198 210 262 270 294 304 352 382	-249860582842
SPT(16)	2378217461105703533	0 44 128 134 198 210 218 254 294 330 338 350 414 420 504 548	-204996677028
SPT(16)	2378217483632013239	0 12 14 20 62 152 164 170 192 198 210 300 342 348 350 362	-182470367322
SPT(16)	2378217537212790719	0 14 50 98 110 138 168 180 182 194 224 252 264 312 348 362	-128889589842
TPT(14)	2378218240659074309	0 2 12 14 60 62 108 110 138 140 210 212 240 242	574556693748
SPT(16)	2378218456386742399	0 22 34 40 42 118 148 160 162 174 204 280 282 288 300 322	790284361838
STPT(10)	2378218496780760551	0 2 30 32 78 80 126 128 156 158	830678379990
SPT(16)	2378218533989037121	0 46 70 72 88 96 132 142 156 166 202 210 226 228 252 298	867886656560
SPT(16)	2378218906855912619	0 30 38 44 78 80 90 92 120 122 132 134 168 174 182 212	1240753532058