Prime p₀= 1124914079679554393 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 46 14 24 18 22 2 4 2 22 18 24 14 46 14 (?)
a_n: 0 14 60 74 98 116 138 140 144 146 168 186 210 224 270 284
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: 284
Found by: Daniel
db: batch=76, k=16, 14 46 14 24 18 22 2 4

SPT(16)	1124912825316906601	0 6 10 40 70 72 82 100 132 150 160 162 192 222 226 232	-1254362647792
STPT(10)	1124912894884568729	0 2 18 20 60 62 102 104 120 122	-1184794985664
SPT(16)	1124913079449559063	0 46 76 126 130 166 174 286 354 466 474 510 514 564 594 640	-1000229995330
STPT(10)	1124913084205381529	0 2 42 44 60 62 78 80 120 122	-995474172864
SPT(16)	1124913163645659149	0 2 32 138 168 170 212 222 230 240 282 284 314 420 450 452	-916033895244
TPT(14)	1124913495943237277	0 2 60 62 102 104 114 116 144 146 180 182 252 254	-583736317116
TPT(14)	1124914197409385489	0 2 12 14 42 44 72 74 150 152 162 164 348 350	117729831096
SPT(16)	1124914205260713859	0 18 28 94 118 132 220 222 250 252 340 354 378 444 454 472	125581159466
SPT(16)	1124914540770145309	0 22 30 60 84 90 130 142 162 174 214 220 244 274 282 304	461090590916
SPT(16)	1124914800629958671	0 12 20 32 42 56 60 86 102 128 132 146 156 168 176 188	720950404278
TPT(14)	1124915484043710011	0 2 30 32 48 50 90 92 120 122 168 170 198 200	1404364155618