Prime p₀= 2300323458662204039 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 20 12 30 22 6 44 58 44 6 22 30 12 20 18 (?)
a_n: 0 18 38 50 80 102 108 152 210 254 260 282 312 324 344 362
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: Landjunge
db: batch=81, k=16, 18 20 12 30 22 6 44 58

TPT(16)	2300322346598337977	0 2 24 26 42 44 114 116 180 182 240 242 312 314 390 392	-1112063866062
SPT(16)	2300322406563515107	0 34 36 96 114 160 184 196 300 312 336 382 400 460 462 496	-1052098688932
SPT(16)	2300322424605393653	0 44 54 86 104 114 126 156 188 218 230 240 258 290 300 344	-1034056810386
STPT(10)	2300322639583516967	0 2 12 14 42 44 72 74 84 86	-819078687072
SPT(16)	2300323217174325103	0 24 40 60 76 96 150 154 186 190 244 264 280 300 316 340	-241487878936
STPT(10)	2300323389645296921	0 2 6 8 48 50 90 92 96 98	-69016907118
SPT(16)	2300323472930134931	0 30 48 66 68 126 168 188 258 278 320 378 380 398 416 446	14267930892
STPT(10)	2300323532674850867	0 2 30 32 60 62 90 92 120 122	74012646828
SPT(16)	2300324005719670807	0 16 42 52 84 90 100 112 114 126 136 142 174 184 210 226	547057466768
STPT(10)	2300324054972948747	0 2 30 32 42 44 54 56 84 86	596310744708
TPT(14)	2300324247577770497	0 2 24 26 42 44 72 74 150 152 180 182 492 494	788915566458