Prime p₀= 3963120797731587403 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 58 6 24 72 24 36 14 46 14 36 24 72 24 6 58 (?)
a_n: 0 58 64 88 160 184 220 234 280 294 330 354 426 450 456 514
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: 514
Found by: Dingo
db: batch=84, k=16, 58 6 24 72 24 36 14 46

STPT(10)	3963119273108198627	0 2 54 56 72 74 90 92 144 146	-1524623388776
SPT(16)	3963119486027003053	0 16 24 36 64 66 76 94 96 114 124 126 154 166 174 190	-1311704584350
SPT(16)	3963119665137429583	0 40 64 90 118 138 150 160 168 178 190 210 238 264 288 328	-1132594157820
STPT(10)	3963119899564446977	0 2 30 32 72 74 114 116 144 146	-898167140426
STPT(10)	3963120416100371087	0 2 42 44 72 74 102 104 144 146	-381631216316
STPT(10)	3963120685990811099	0 2 18 20 30 32 42 44 60 62	-111740776304
SPT(16)	3963120902933483087	0 2 14 30 42 104 114 122 132 140 150 212 224 240 252 254	105201895684
SPT(16)	3963120907973327263	0 60 64 88 94 100 108 120 304 316 324 330 336 360 364 424	110241739860
STPT(10)	3963121120059715037	0 2 30 32 72 74 114 116 144 146	322328127634
SPT(16)	3963121560187786991	0 2 56 92 98 108 120 128 150 158 170 180 186 222 276 278	762456199588
STPT(10)	3963121846053789239	0 2 42 44 60 62 78 80 120 122	1048322201836