Prime p₀= 2696972538805968457 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 12 24 44 46 26 58 8 58 26 46 44 24 12 4 (?)
a_n: 0 4 16 40 84 130 156 214 222 280 306 352 396 420 432 436
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: 436
Found by: Dirk Broer
db: batch=82, k=16, 4 12 24 44 46 26 58 8

SPT(16)	2696968155004960013	0 8 36 38 48 66 78 86 168 176 188 206 216 218 246 254	-4383801008444
SPT(16)	2696970041216522453	0 26 44 48 78 84 116 140 174 198 230 236 266 270 288 314	-2497589446004
SPT(16)	2696970344210233813	0 46 54 94 100 124 150 166 294 310 336 360 366 406 414 460	-2194595734644
STPT(10)	2696971242482160737	0 2 30 32 60 62 90 92 120 122	-1296323807720
TPT(14)	2696971551963517391	0 2 36 38 138 140 168 170 210 212 336 338 426 428	-986842451066
SPT(16)	2696971607157457499	0 48 74 90 108 114 128 150 182 204 218 224 242 258 284 332	-931648510958
SPT(16)	2696972772940156531	0 6 16 22 28 46 78 88 90 100 132 150 156 162 172 178	234134188074
STPT(10)	2696972811899746151	0 2 36 38 78 80 120 122 156 158	273093777694
SPT(16)	2696972942127980531	0 56 156 168 176 182 200 210 278 288 306 312 320 332 432 488	403322012074
STPT(10)	2696972961643622117	0 2 30 32 42 44 54 56 84 86	422837653660
STPT(10)	2696973129149990237	0 2 30 32 42 44 54 56 84 86	590344021780