Prime p₀= 2738111489672676497 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 76 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 120 122 132 134 162 164
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: JayPi
db: batch=82, k=12, 2 28 2 10 2 76

SPT(16)	2738109912538485557	0 44 56 66 72 102 114 144 182 212 224 254 260 270 282 326	-1577134190940
SPT(16)	2738109920578547129	0 2 20 30 42 60 62 80 90 108 110 128 140 150 168 170	-1569094129368
SPT(16)	2738110297661998169	0 30 32 50 78 80 92 120 122 150 162 164 192 210 212 242	-1192010678328
SPT(16)	2738111004798250327	0 12 24 30 36 46 52 72 94 114 120 130 136 142 154 166	-484874426170
STPT(10)	2738111055938918369	0 2 48 50 90 92 132 134 180 182	-433733758128
STPT(10)	2738111244217128749	0 2 12 14 30 32 48 50 60 62	-245455547748
STPT(10)	2738111499907092887	0 2 30 32 42 44 54 56 84 86	10234416390
SPT(16)	2738111516258905201	0 30 46 52 60 76 120 130 132 142 186 202 210 216 232 262	26586228704
STPT(10)	2738112118625644877	0 2 30 32 42 44 54 56 84 86	628952968380
SPT(16)	2738112235592827021	0 10 12 36 42 76 130 132 166 168 222 256 262 286 288 298	745920150524
SPT(16)	2738112251233547857	0 16 54 70 102 106 114 142 144 172 180 184 216 232 270 286	761560871360