Prime p₀= 4044905113286541241 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 6 4 26 12 28 20 94 20 28 12 26 4 6 30 (?)
a_n: 0 30 36 40 66 78 106 126 220 240 268 280 306 310 316 346
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: 346
Found by: [AF] Kalianthys
db: batch=84, k=16, 30 6 4 26 12 28 20 94

TPT(14)	4044903708582205169	0 2 30 32 72 74 138 140 180 182 240 242 252 254	-1404704336072
STPT(10)	4044904021734424109	0 2 18 20 30 32 42 44 60 62	-1091552117132
STPT(10)	4044904156088470247	0 2 24 26 42 44 60 62 84 86	-957198070994
SPT(16)	4044904373539525421	0 6 30 32 60 90 126 146 186 206 242 272 300 302 326 332	-739747015820
SPT(16)	4044904496206247227	0 36 42 54 102 130 144 186 190 232 246 274 322 334 340 376	-617080294014
SPT(16)	4044904531984166437	0 34 42 72 90 96 114 124 132 142 160 166 184 214 222 256	-581302374804
SPT(16)	4044905289876668221	0 16 46 118 166 222 228 250 288 310 316 372 420 492 522 538	176590126980
SPT(16)	4044905715968814769	0 48 88 114 130 144 150 204 268 322 328 342 358 384 424 472	602682273528
SPT(16)	4044905958637899827	0 26 36 50 150 182 206 272 324 390 414 446 546 560 570 596	845351358586
STPT(10)	4044906057364035011	0 2 36 38 78 80 120 122 156 158	944077493770
STPT(10)	4044906594661965551	0 2 36 38 78 80 120 122 156 158	1481375424310