Prime p₀= 2103875164604572199 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: Landjunge
db: batch=80, k=12, 2 10 2 28 2 76

SPT(16)	2103873042807481069	0 10 24 34 42 48 132 144 178 190 274 280 288 298 312 322	-2121797091130
SPT(16)	2103873707411421557	0 20 24 72 80 110 126 156 230 260 276 306 314 362 366 386	-1457193150642
SPT(16)	2103873763554773929	0 10 54 70 82 148 154 190 192 228 234 300 312 328 372 382	-1401049798270
SPT(16)	2103873788927690911	0 10 22 28 52 102 118 160 180 222 238 288 312 318 330 340	-1375676881288
STPT(10)	2103873792545015927	0 2 60 62 102 104 144 146 204 206	-1372059556272
STPT(10)	2103874355925013949	0 2 12 14 90 92 168 170 180 182	-808679558250
SPT(16)	2103875405830954001	0 38 50 80 96 110 120 122 156 158 168 182 198 228 240 278	241226381802
STPT(10)	2103875411667540629	0 2 18 20 30 32 42 44 60 62	247062968430
STPT(10)	2103875627642208221	0 2 6 8 48 50 90 92 96 98	463037636022
STPT(10)	2103875718043679147	0 2 12 14 42 44 72 74 84 86	553439106948
SPT(16)	2103875734455083551	0 28 78 166 186 190 226 252 286 312 348 352 372 460 510 538	569850511352