Prime p₀= 2808349881801600119 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 16 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 60 62 90 92 102 104
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: 104
Found by: [SG]ATA-Rolf
db: batch=82, k=12, 2 10 2 28 2 16

SPT(16)	2808348404065271143	0 10 40 60 66 88 94 136 258 300 306 328 334 354 384 394	-1477736328976
SPT(16)	2808348764608938181	0 28 42 66 70 78 120 130 168 178 220 228 232 256 270 298	-1117192661938
SPT(16)	2808349100773720193	0 60 74 96 98 134 138 140 174 176 180 216 218 240 254 314	-781027879926
TPT(16)	2808349293330425459	0 2 30 32 42 44 102 104 138 140 168 170 192 194 240 242	-588471174660
SPT(16)	2808349388587265111	0 2 8 30 32 92 116 138 140 162 186 246 248 270 276 278	-493214335008
STPT(10)	2808349760400949949	0 2 30 32 60 62 90 92 120 122	-121400650170
STPT(10)	2808349931930872487	0 2 12 14 72 74 132 134 144 146	50129272368
SPT(16)	2808349938794523533	0 14 20 54 68 114 128 138 146 156 170 216 230 264 270 284	56992923414
SPT(16)	2808350120624607931	0 22 78 102 108 126 166 172 186 192 232 250 256 280 336 358	238823007812
SPT(16)	2808350142277582139	0 24 30 48 122 128 138 174 188 224 234 240 314 332 338 362	260475982020
SPT(16)	2808350308554259957	0 10 34 46 52 82 102 112 144 154 174 204 210 222 246 256	426752659838