Prime p₀= 1001102346303480329 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 82 2 4 2 82 2 16 2 (?)
a_n: 0 2 18 20 102 104 108 110 192 194 210 212
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: 212
Found by: Theadalus
db: batch=76, k=12, 2 16 2 82 2 4

SPT(16)	1001101558654244591	0 12 26 38 62 66 68 90 98 120 122 126 150 162 176 188	-787649235738
STPT(10)	1001101674360904157	0 2 30 32 42 44 54 56 84 86	-671942576172
STPT(10)	1001101923462709331	0 2 6 8 48 50 90 92 96 98	-422840770998
SPT(16)	1001102153235246487	0 6 42 46 60 66 102 106 150 154 190 196 210 214 250 256	-193068233842
SPT(16)	1001102220131575301	0 42 90 98 102 150 168 192 308 332 350 398 402 410 458 500	-126171905028
TPT(14)	1001102290749270959	0 2 72 74 138 140 198 200 210 212 228 230 240 242	-55554209370
TPT(14)	1001102538569505299	0 2 30 32 90 92 102 104 180 182 270 272 312 314	192266024970
STPT(10)	1001102861034077741	0 2 36 38 78 80 120 122 156 158	514730597412
STPT(10)	1001103038883113009	0 2 18 20 30 32 42 44 60 62	692579632680
TPT(14)	1001103116467873451	0 2 48 50 126 128 198 200 240 242 300 302 378 380	770164393122
SPT(16)	1001103260257796659	0 12 90 118 132 150 228 288 304 364 442 460 474 502 580 592	913954316330