Prime p₀= 1117658412438692909 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 46 2 40 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 120 122 168 170 198 200
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: 200
Found by: stoneageman
db: batch=76, k=12, 2 28 2 46 2 40

SPT(18)	1117657613699495741	0 6 8 32 36 42 48 78 120 158 200 230 236 242 246 270 272 278	-798739197168
STPT(10)	1117658074831264661	0 2 30 32 78 80 126 128 156 158	-337607428248
TPT(14)	1117658181785744117	0 2 54 56 72 74 114 116 120 122 180 182 192 194	-230652948792
SPT(16)	1117658253061296293	0 48 54 86 90 98 114 156 158 200 216 224 228 260 266 314	-159377396616
TPT(14)	1117658280575491979	0 2 120 122 132 134 210 212 228 230 252 254 288 290	-131863200930
SPT(16)	1117658389826465261	0 92 98 176 188 218 246 318 410 482 510 540 552 630 636 728	-22612227648
SPT(16)	1117658548493352247	0 12 30 54 114 132 142 180 184 222 232 250 310 334 352 364	136054659338
STPT(10)	1117658810637696527	0 2 54 56 132 134 210 212 264 266	398199003618
SPT(16)	1117659237373774373	0 14 48 50 80 158 188 234 260 306 336 414 444 446 480 494	824935081464
TPT(14)	1117659408434628107	0 2 42 44 102 104 114 116 144 146 222 224 252 254	995995935198
STPT(10)	1117659518544743357	0 2 30 32 42 44 54 56 84 86	1106106050448