Prime p₀= 1016778447240201683 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 44 4 2 10 30 24 26 64 26 24 30 10 2 4 44 (?)
a_n: 0 44 48 50 60 90 114 140 204 230 254 284 294 296 300 344
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: 344
Found by: Skivelitis2
db: batch=76, k=16, 44 4 2 10 30 24 26 64

SPT(16)	1016777327063357053	0 36 64 78 126 174 178 216 238 276 280 328 376 390 418 454	-1120176844630
SPT(16)	1016777412707728781	0 6 32 42 50 90 96 102 170 176 182 222 230 240 266 272	-1034532472902
STPT(10)	1016777719945005059	0 2 18 20 30 32 42 44 60 62	-727295196624
STPT(10)	1016777807964381059	0 2 42 44 60 62 78 80 120 122	-639275820624
SPT(16)	1016777965269699323	0 56 66 80 96 126 158 186 188 216 248 278 294 308 318 374	-481970502360
SPT(16)	1016778136736952713	0 26 36 48 78 84 116 126 188 198 230 236 266 278 288 314	-310503248970
SPT(16)	1016778891310656337	0 24 30 52 64 90 142 222 262 342 394 420 432 454 460 484	444070454654
STPT(10)	1016779093947349427	0 2 30 32 60 62 90 92 120 122	646707147744
STPT(10)	1016779237313763137	0 2 30 32 42 44 54 56 84 86	790073561454
STPT(12)	1016779338026062067	0 2 30 32 72 74 90 92 132 134 162 164	890785860384
STPT(10)	1016779425471599591	0 2 6 8 48 50 90 92 96 98	978231397908