Prime p₀= 910395942006790081 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 16 8 6 40 62 12 58 12 62 40 6 8 16 6 (?)
a_n: 0 6 22 30 36 76 138 150 208 220 282 322 328 336 352 358
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: 358
Found by: HenkM
db: batch=76, k=16, 6 16 8 6 40 62 12 58

SPT(16)	910395188219844359	0 54 60 68 138 174 194 212 270 288 308 344 414 422 428 482	-753786945722
SPT(16)	910395261847455739	0 4 40 42 82 88 108 124 138 154 174 180 220 222 258 262	-680159334342
SPT(16)	910395327720611987	0 20 24 56 66 74 126 200 276 350 402 410 420 452 456 476	-614286178094
SPT(16)	910395510662605739	0 90 128 140 198 224 254 270 338 354 384 410 468 480 518 608	-431344184342
SPT(16)	910395580050221173	0 10 16 24 28 58 60 84 160 184 186 216 220 228 234 244	-361956568908
SPT(16)	910395841420812623	0 6 18 56 104 126 140 144 170 174 188 210 258 296 308 314	-100585977458
SPT(16)	910395990027342773	0 36 56 114 140 146 168 174 380 386 408 414 440 498 518 554	48020552692
SPT(16)	910396062584860567	0 6 24 66 84 126 132 156 280 304 310 352 370 412 430 436	120578070486
SPT(16)	910396154278681909	0 4 28 72 82 88 222 262 270 310 444 450 460 504 528 532	212271891828
TPT(14)	910396155346260761	0 2 90 92 96 98 120 122 138 140 168 170 180 182	213339470680
SPT(13)	910396231958043841	0 6 30 36 72 90 126 162 180 216 222 246 252	289951253760