Prime p₀= 2829627019239612941 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 36 54 30 14 40 2 4 2 40 14 30 54 36 6 (?)
a_n: 0 6 42 96 126 140 180 182 186 188 228 242 272 326 362 368
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 368
Found by: Roadranner
db: batch=82, k=16, 6 36 54 30 14 40 2 4

STPT(10)	2829625825437517217	0 2 42 44 72 74 102 104 144 146	-1193802095724
SPT(16)	2829625915034380291	0 18 46 76 96 162 232 238 300 306 376 442 462 492 520 538	-1104205232650
SPT(16)	2829626133438256799	0 12 20 50 80 138 272 300 422 450 584 642 672 702 710 722	-885801356142
STPT(10)	2829626537550889157	0 2 54 56 72 74 90 92 144 146	-481688723784
STPT(10)	2829626610820639037	0 2 42 44 72 74 102 104 144 146	-408418973904
STPT(10)	2829626885362083419	0 2 18 20 30 32 42 44 60 62	-133877529522
STPT(10)	2829627074301190517	0 2 54 56 72 74 90 92 144 146	55061577576
SPT(16)	2829627214429193291	0 12 32 60 68 80 110 126 152 168 198 210 218 246 266 278	195189580350
SPT(16)	2829627245018214827	0 32 84 96 102 110 120 140 156 176 186 194 200 212 264 296	225778601886
STPT(10)	2829627677098468031	0 2 30 32 60 62 90 92 120 122	657858855090
SPT(16)	2829627710193547559	0 2 32 60 72 90 104 128 204 228 242 260 272 300 330 332	690953934618