Prime p₀= 1018090592088906989 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 28 2 16 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 90 92 120 122 162 164
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: HenkM
db: batch=76, k=12, 2 40 2 28 2 16

TPT(14)	1018089178114763789	0 2 102 104 108 110 138 140 348 350 420 422 438 440	-1413974143200
SPT(16)	1018089181228661617	0 4 54 66 70 130 150 154 186 190 210 270 274 286 336 340	-1410860245372
STPT(10)	1018089427480383149	0 2 48 50 90 92 132 134 180 182	-1164608523840
SPT(16)	1018089787213890551	0 2 32 72 96 98 110 140 198 228 240 242 266 306 336 338	-804875016438
SPT(16)	1018089896368751567	0 32 50 60 72 92 110 170 186 246 264 284 296 306 324 356	-695720155422
STPT(10)	1018090165526156477	0 2 42 44 72 74 102 104 144 146	-426562750512
SPT(16)	1018090601586765877	0 4 10 30 34 52 60 66 70 76 84 102 106 126 132 136	9497858888
TPT(16)	1018090868518873307	0 2 42 44 132 134 144 146 342 344 384 386 474 476 600 602	276429966318
SPT(16)	1018091180390193863	0 24 38 48 78 90 98 104 144 150 158 170 200 210 224 248	588301286874
SPT(16)	1018091227422332891	0 32 42 102 122 128 168 182 216 230 270 276 296 356 366 398	635333425902
STPT(10)	1018091284625437049	0 2 18 20 30 32 42 44 60 62	692536530060