Prime p₀= 4044853596244472021 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 2 60 4 66 6 2 30 88 30 2 6 66 4 60 2 (?)
a_n: 0 2 62 66 132 138 140 170 258 288 290 296 362 366 426 428
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: 428
Found by: Alnitak2019
db: batch=84, k=16, 2 60 4 66 6 2 30 88

STPT(10)	4044852596497578989	0 2 12 14 30 32 48 50 60 62	-999746893032
STPT(10)	4044852602588668691	0 2 6 8 18 20 30 32 36 38	-993655803330
STPT(10)	4044852957745909427	0 2 24 26 42 44 60 62 84 86	-638498562594
SPT(16)	4044853216072938991	0 18 30 36 42 52 66 100 108 142 156 166 172 178 190 208	-380171533030
STPT(10)	4044853347088173671	0 2 6 8 18 20 30 32 36 38	-249156298350
TPT(14)	4044853549602060749	0 2 138 140 180 182 222 224 288 290 378 380 420 422	-46642411272
SPT(16)	4044854005514085451	0 6 10 58 88 100 108 160 168 220 228 240 270 318 322 328	409269613430
STPT(10)	4044854401557676697	0 2 42 44 72 74 102 104 144 146	805313204676
SPT(16)	4044854430627039187	0 12 30 60 64 70 100 112 114 126 156 162 166 196 214 226	834382567166
SPT(16)	4044854572267891757	0 44 56 90 92 96 134 176 180 222 260 264 266 300 312 356	976023419736
STPT(10)	4044854672687643509	0 2 30 32 60 62 90 92 120 122	1076443171488