Prime p₀= 2637398290726481237 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 52 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 114 116 132 134 174 176
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: 176
Found by: biodoc
db: batch=82, k=12, 2 40 2 16 2 52

SPT(16)	2637397239665955211	0 18 70 100 112 120 142 148 180 186 208 216 228 258 310 328	-1051060526026
STPT(10)	2637397332151460771	0 2 6 8 48 50 90 92 96 98	-958575020466
SPT(16)	2637397430887534321	0 58 76 88 118 130 138 142 156 160 168 180 210 222 240 298	-859838946916
SPT(16)	2637397486963680593	0 14 50 60 78 116 144 234 260 350 378 416 434 444 480 494	-803762800644
SPT(16)	2637397961555046143	0 38 84 90 114 126 174 210 314 350 398 410 434 440 486 524	-329171435094
SPT(16)	2637398079383942557	0 16 22 34 60 70 72 106 210 244 246 256 282 294 300 316	-211342538680
TPT(14)	2637398427762441647	0 2 120 122 150 152 204 206 210 212 252 254 342 344	137035960410
SPT(16)	2637398588428996123	0 4 30 36 76 78 88 106 168 186 196 198 238 244 270 274	297702514886
TPT(14)	2637398724921467261	0 2 126 128 150 152 186 188 228 230 276 278 306 308	434194986024
STPT(10)	2637399029287372319	0 2 12 14 30 32 48 50 60 62	738560891082
TPT(14)	2637400353686237339	0 2 30 32 48 50 72 74 132 134 228 230 252 254	2062959756102