Prime p₀= 2699607005388963067 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 52 14 168 36 24 6 22 2 22 6 24 36 168 14 52 (?)
a_n: 0 52 66 234 270 294 300 322 324 346 352 376 412 580 594 646
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: 646
Found by: JayPi
db: batch=82, k=16, 52 14 168 36 24 6 22 2

SPT(16)	2699605611339163249	0 30 108 112 118 154 210 228 244 262 318 354 360 364 442 472	-1394049799818
STPT(10)	2699605710993782909	0 2 42 44 90 92 138 140 180 182	-1294395180158
SPT(16)	2699605852531323917	0 20 62 140 150 164 200 242 264 306 342 356 366 444 486 506	-1152857639150
TPT(14)	2699605887958686359	0 2 42 44 48 50 72 74 90 92 132 134 312 314	-1117430276708
SPT(16)	2699606234196281533	0 34 58 70 154 238 258 268 300 310 330 414 498 510 534 568	-771192681534
SPT(16)	2699606663776720303	0 4 30 78 106 124 156 166 228 238 270 288 316 364 390 394	-341612242764
TPT(14)	2699607106609098071	0 2 36 38 66 68 126 128 240 242 330 332 336 338	101220135004
STPT(10)	2699607466068163697	0 2 54 56 72 74 90 92 144 146	460679200630
SPT(16)	2699607598075501453	0 6 28 36 46 54 96 106 138 148 190 198 208 216 238 244	592686538386
STPT(10)	2699607661635053339	0 2 18 20 30 32 42 44 60 62	656246090272
TPT(14)	2699607930439678667	0 2 24 26 90 92 162 164 192 194 204 206 222 224	925050715600