Prime p₀= 2044738677698612471 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 2 76 14 6 22 20 16 56 16 20 22 6 14 76 2 (?)
a_n: 0 2 78 92 98 120 140 156 212 228 248 270 276 290 366 368
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: Landjunge
db: batch=80, k=16, 2 76 14 6 22 20 16 56

STPT(10)	2044737821258258051	0 2 30 32 78 80 126 128 156 158	-856440354420
STPT(10)	2044737889881082211	0 2 6 8 48 50 90 92 96 98	-787817530260
TPT(14)	2044738087211647769	0 2 12 14 30 32 102 104 132 134 168 170 198 200	-590486964702
STPT(10)	2044738196020981337	0 2 30 32 60 62 90 92 120 122	-481677631134
SPT(16)	2044738371999202697	0 6 80 96 104 122 212 236 270 294 384 402 410 426 500 506	-305699409774
SPT(16)	2044738671684070721	0 42 66 90 116 242 258 276 332 350 366 492 518 542 566 608	-6014541750
SPT(16)	2044739045131249279	0 40 42 72 82 112 138 142 168 172 198 228 238 268 270 310	367432636808
SPT(16)	2044739098303260523	0 10 48 64 94 108 138 178 180 220 250 264 294 310 348 358	420604648052
SPT(16)	2044739102618261507	0 24 72 84 86 122 150 156 230 236 264 300 302 314 362 386	424919649036
STPT(10)	2044739350643895077	0 2 42 44 72 74 102 104 144 146	672945282606
SPT(16)	2044739413226683991	0 2 38 60 108 126 140 156 242 258 272 290 338 360 396 398	735528071520