Prime p₀= 4044822557472509173 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 4 6 84 14 6 42 52 42 6 14 84 6 4 30 (?)
a_n: 0 30 34 40 124 138 144 186 238 280 286 300 384 390 394 424
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: 424
Found by: Alnitak2019
db: batch=84, k=16, 30 4 6 84 14 6 42 52

STPT(10)	4044821546281555799	0 2 12 14 90 92 168 170 180 182	-1011190953374
STPT(12)	4044821570755042487	0 2 12 14 54 56 90 92 132 134 144 146	-986717466686
SPT(16)	4044821614307061551	0 6 18 66 116 150 176 252 326 402 428 462 512 560 572 578	-943165447622
STPT(10)	4044821872442049077	0 2 30 32 42 44 54 56 84 86	-685030460096
STPT(10)	4044821904287805437	0 2 24 26 42 44 60 62 84 86	-653184703736
STPT(10)	4044822297985763051	0 2 6 8 18 20 30 32 36 38	-259486746122
STPT(10)	4044822610024375181	0 2 36 38 78 80 120 122 156 158	52551866008
STPT(10)	4044822639630585497	0 2 24 26 42 44 60 62 84 86	82158076324
STPT(10)	4044822750916360337	0 2 12 14 42 44 72 74 84 86	193443851164
TPT(14)	4044822962379120587	0 2 30 32 120 122 150 152 162 164 210 212 240 242	404906611414
STPT(12)	4044822969116047577	0 2 60 62 84 86 90 92 114 116 174 176	411643538404