Prime p₀= 997960379763232937 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 40 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 102 104 120 122 162 164
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: 164
Found by: Spectrum
db: batch=76, k=12, 2 40 2 16 2 40

STPT(10)	997959590181421919	0 2 42 44 60 62 78 80 120 122	-789581811018
STPT(10)	997959869545395311	0 2 36 38 78 80 120 122 156 158	-510217837626
SPT(16)	997959929749650743	0 38 54 96 98 108 126 168 236 278 296 306 308 350 366 404	-450013582194
SPT(16)	997959957595157191	0 6 46 60 70 112 120 126 172 178 186 228 238 252 292 298	-422168075746
SPT(16)	997960020694912241	0 18 26 30 42 50 96 108 170 182 228 236 248 252 260 278	-359068320696
TPT(16)	997960036970801897	0 2 102 104 114 116 144 146 150 152 180 182 234 236 252 254	-342792431040
STPT(10)	997960469703287327	0 2 30 32 42 44 54 56 84 86	89940054390
SPT(16)	997960731610167841	0 90 112 138 162 168 180 196 312 328 340 346 370 396 418 508	351846934904
STPT(10)	997961482130728847	0 2 30 32 42 44 54 56 84 86	1102367495910
SPT(16)	997961613331232257	0 12 24 42 100 102 112 120 214 222 232 234 292 310 322 334	1233567999320
SPT(16)	997961730656373887	0 24 56 62 96 140 150 152 174 176 186 230 264 270 302 326	1350893140950