Prime p₀= 2038757216276123323 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 58 36 20 12 84 10 14 76 14 10 84 12 20 36 58 (?)
a_n: 0 58 94 114 126 210 220 234 310 324 334 418 430 450 486 544
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: 544
Found by: LeChat51X
db: batch=80, k=16, 58 36 20 12 84 10 14 76

SPT(16)	2038755665438099659	0 10 30 34 58 84 162 228 244 310 388 414 438 442 462 472	-1550838023664
STPT(10)	2038755895767231629	0 2 18 20 30 32 42 44 60 62	-1320508891694
SPT(16)	2038756451189649551	0 2 8 26 78 86 92 98 120 126 132 140 192 210 216 218	-765086473772
SPT(16)	2038756759689541673	0 26 48 56 78 80 138 146 210 218 276 278 300 308 330 356	-456586581650
STPT(10)	2038756947119293787	0 2 12 14 42 44 72 74 84 86	-269156829536
STPT(10)	2038757152919591957	0 2 30 32 72 74 114 116 144 146	-63356531366
STPT(10)	2038757247872255159	0 2 18 20 30 32 42 44 60 62	31596131836
SPT(16)	2038757268298387853	0 38 90 156 168 170 186 248 318 380 396 398 410 476 528 566	52022264530
SPT(16)	2038757659728155803	0 10 76 90 154 160 180 244 426 490 510 516 580 594 660 670	443452032480
SPT(16)	2038758505545431863	0 34 64 70 90 118 138 166 168 196 216 244 264 270 300 334	1289269308540
STPT(10)	2038758581861254457	0 2 12 14 42 44 72 74 84 86	1365585131134