Prime p₀= 1320082524363751789 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 66 32 18 4 8 6 16 6 8 4 18 32 66 4 (?)
a_n: 0 4 70 102 120 124 132 138 154 160 168 172 190 222 288 292
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: 292
Found by: Megacruncher
db: batch=77, k=16, 4 66 32 18 4 8 6 16

SPT(16)	1320079863907645339	0 10 24 70 78 160 168 184 204 220 228 310 318 364 378 388	-2660456106450
STPT(10)	1320079896475465649	0 2 18 20 30 32 42 44 60 62	-2627888286140
SPT(18)	1320080379075261851	0 32 38 62 78 116 146 168 176 402 410 432 462 500 516 540 546 578	-2145288489938
STPT(10)	1320082005921563627	0 2 30 32 42 44 54 56 84 86	-518442188162
TPT(14)	1320082318298189357	0 2 30 32 90 92 300 302 312 314 330 332 372 374	-206065562432
STPT(12)	1320082504499938379	0 2 12 14 30 32 72 74 90 92 102 104	-19863813410
STPT(10)	1320082567534696907	0 2 30 32 42 44 54 56 84 86	43170945118
SPT(16)	1320082761078658321	0 42 52 72 108 112 150 162 238 250 288 292 328 348 358 400	236714906532
SPT(16)	1320082769975383151	0 2 12 30 48 56 62 66 152 156 162 170 188 206 216 218	245611631362
STPT(10)	1320082790472056927	0 2 30 32 42 44 54 56 84 86	266108305138
SPT(16)	1320082997624233919	0 20 62 72 90 170 198 230 300 332 360 440 458 468 510 530	473260482130