Prime p₀= 2958883221513735959 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 44 160 26 10 12 8 10 224 10 8 12 10 26 160 44 (?)
a_n: 0 44 204 230 240 252 260 270 494 504 512 524 534 560 720 764
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: 764
Found by: Roadranner
db: batch=82, k=16, 44 160 26 10 12 8 10 224

STPT(10)	2958882387331878977	0 2 30 32 72 74 114 116 144 146	-834181856982
STPT(10)	2958882416461484057	0 2 30 32 42 44 54 56 84 86	-805052251902
SPT(16)	2958882533586520249	0 18 22 30 88 102 150 154 228 232 280 294 352 360 364 382	-687927215710
STPT(10)	2958882935761076381	0 2 30 32 78 80 126 128 156 158	-285752659578
STPT(10)	2958882951625029827	0 2 30 32 72 74 114 116 144 146	-269888706132
STPT(10)	2958883130292240161	0 2 6 8 48 50 90 92 96 98	-91221495798
SPT(16)	2958883943027809967	0 14 30 32 60 84 176 186 200 210 302 326 354 356 372 386	721514074008
SPT(16)	2958883981371624403	0 34 40 60 84 88 100 118 180 198 210 214 238 258 264 298	759857888444
SPT(16)	2958884041594717399	0 42 52 64 94 118 120 130 192 202 204 228 258 270 280 322	820080981440
STPT(10)	2958884361479734781	0 2 36 38 78 80 120 122 156 158	1139965998822
SPT(16)	2958884991972954809	0 8 42 50 78 84 92 140 282 330 338 344 372 380 414 422	1770459218850