Prime p₀= 1124845807939459337 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 42 14 36 18 10 56 4 2 4 56 10 18 36 14 42 (?)
a_n: 0 42 56 92 110 120 176 180 182 186 242 252 270 306 320 362
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: 362
Found by: crashtech
db: batch=76, k=16, 42 14 36 18 10 56 4 2

SPT(16)	1124844653170783561	0 18 22 48 78 100 148 190 198 240 288 310 340 366 370 388	-1154768675776
STPT(10)	1124844920409884459	0 2 30 32 60 62 90 92 120 122	-887529574878
STPT(10)	1124845302684526457	0 2 60 62 72 74 84 86 144 146	-505254932880
SPT(16)	1124845474489520671	0 6 18 40 46 60 66 76 192 202 208 222 228 250 262 268	-333449938666
SPT(16)	1124845552897663099	0 12 28 34 90 100 220 244 258 282 402 412 468 474 490 502	-255041796238
SPT(16)	1124845562997831277	0 4 36 66 82 106 124 150 166 192 210 234 250 280 312 316	-244941628060
STPT(10)	1124846046768703949	0 2 18 20 30 32 42 44 60 62	238829244612
TPT(14)	1124846053379742347	0 2 54 56 90 92 120 122 210 212 294 296 330 332	245440283010
TPT(14)	1124846439196845821	0 2 30 32 66 68 78 80 126 128 198 200 210 212	631257386484
TPT(14)	1124847085080918359	0 2 18 20 30 32 108 110 138 140 180 182 240 242	1277141459022
SPT(16)	1124847486001351591	0 40 42 72 118 136 138 162 196 220 222 240 286 316 318 358	1678061892254