Prime p₀= 2049883465539020777 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 76 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 120 122 150 152 162 164
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: [SG-2W]Kurzer
db: batch=80, k=12, 2 10 2 28 2 76

SPT(16)	2049882720464463641	0 32 92 126 162 170 182 212 276 306 318 326 362 396 456 488	-745074557136
STPT(10)	2049882821821185521	0 2 30 32 78 80 126 128 156 158	-643717835256
STPT(10)	2049882867620393747	0 2 30 32 42 44 54 56 84 86	-597918627030
STPT(10)	2049883027901343377	0 2 30 32 42 44 54 56 84 86	-437637677400
SPT(16)	2049883149940739891	0 8 38 42 68 98 108 138 152 182 192 222 248 252 282 290	-315598280886
SPT(16)	2049883299308143657	0 36 54 70 94 100 172 186 190 204 276 282 306 322 340 376	-166230877120
SPT(16)	2049883787000107991	0 18 32 48 60 72 122 140 150 168 218 230 242 258 272 290	321461087214
SPT(16)	2049884447419924681	0 12 18 42 48 96 100 118 180 198 202 250 256 280 286 298	981880903904
STPT(10)	2049884626294114187	0 2 30 32 42 44 54 56 84 86	1160755093410
STPT(10)	2049884650044482567	0 2 30 32 42 44 54 56 84 86	1184505461790
SPT(16)	2049885572554159891	0 36 66 78 90 96 118 150 316 348 370 376 388 400 430 466	2107015139114