Prime p₀= 2124875581223451671 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 76 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 138 140 168 170 198 200
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: 200
Found by: Landjunge
db: batch=80, k=12, 2 28 2 28 2 76

SPT(16)	2124874043105463799	0 4 22 34 52 84 130 142 162 174 220 252 270 282 300 304	-1538117987872
SPT(16)	2124874109403440467	0 4 10 34 36 46 64 66 154 156 174 184 186 210 216 220	-1471820011204
STPT(10)	2124874201068628907	0 2 42 44 72 74 102 104 144 146	-1380154822764
SPT(16)	2124874881085503671	0 18 38 68 78 80 108 122 138 152 180 182 192 222 242 260	-700137948000
SPT(16)	2124875403194659529	0 12 78 84 102 128 140 162 200 222 234 260 278 284 350 362	-178028792142
SPT(16)	2124875450841621349	0 22 34 54 84 100 112 114 130 132 144 160 190 210 222 244	-130381830322
SPT(16)	2124875622494696089	0 22 78 102 172 210 222 228 232 238 250 288 358 382 438 460	41271244418
STPT(10)	2124875815987957787	0 2 42 44 72 74 102 104 144 146	234764506116
STPT(10)	2124875853343911719	0 2 18 20 30 32 42 44 60 62	272120460048
SPT(16)	2124875969371103411	0 2 30 60 126 140 158 170 198 210 228 242 308 338 366 368	388147651740
SPT(16)	2124876269510587321	0 22 40 60 66 82 256 280 288 312 486 502 508 528 546 568	688287135650