Prime p₀= 2003659150951640969 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 4 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 48 50 78 80 90 92
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: 92
Found by: Dingo
db: batch=80, k=12, 2 10 2 28 2 4

SPT(16)	2003658022349930641	0 10 78 100 102 168 172 178 210 216 220 286 288 310 378 388	-1128601710328
SPT(16)	2003658125948307061	0 6 10 22 36 52 90 102 136 148 186 202 216 228 232 238	-1025003333908
SPT(16)	2003658145578669721	0 12 18 42 60 70 78 82 186 190 198 208 226 250 256 268	-1005372971248
STPT(10)	2003658477690806537	0 2 42 44 72 74 102 104 144 146	-673260834432
STPT(10)	2003658979948577849	0 2 18 20 30 32 42 44 60 62	-171003063120
SPT(16)	2003659035450762259	0 22 40 42 58 72 142 160 162 180 250 264 280 282 300 322	-115500878710
STPT(10)	2003659450639286351	0 2 6 8 18 20 30 32 36 38	299687645382
STPT(10)	2003659584645014111	0 2 6 8 48 50 90 92 96 98	433693373142
STPT(10)	2003659849754281919	0 2 12 14 90 92 168 170 180 182	698802640950
SPT(16)	2003660036496592919	0 2 14 84 98 120 134 180 212 258 272 294 308 378 390 392	885544951950
TPT(14)	2003660374095586691	0 2 6 8 78 80 156 158 198 200 240 242 246 248	1223143945722