Prime p₀= 798348557462966171 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 34 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 96 98 126 128 156 158
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: 158
Found by: Frank [NT]
db: batch=73, k=12, 2 28 2 28 2 34

SPT(16)	798347133274109953	0 4 18 30 34 78 84 88 186 190 196 240 244 256 270 274	-1424188856218
STPT(10)	798347148716817611	0 2 6 8 18 20 30 32 36 38	-1408746148560
SPT(16)	798347458115603971	0 72 82 102 142 172 222 252 310 340 390 420 460 480 490 562	-1099347362200
SPT(16)	798348070623259183	0 54 84 96 126 154 156 180 184 208 210 238 268 280 310 364	-486839706988
STPT(10)	798348091711563257	0 2 12 14 72 74 132 134 144 146	-465751402914
SPT(16)	798348421152377999	0 2 14 74 92 102 114 150 212 248 260 270 288 348 360 362	-136310588172
STPT(10)	798348988045362659	0 2 42 44 90 92 138 140 180 182	430582396488
STPT(10)	798349060488169241	0 2 6 8 18 20 30 32 36 38	503025203070
SPT(16)	798349531940245781	0 2 12 18 60 146 152 168 200 216 222 308 350 356 366 368	974477279610
SPT(16)	798349675267564639	0 52 60 84 102 154 172 228 244 300 318 370 388 412 420 472	1117804598468
STPT(10)	798349704717859961	0 2 6 8 18 20 30 32 36 38	1147254893790