Prime p₀= 813696257068676647 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 24 48 4 48 18 14 64 14 18 48 4 48 24 30 (?)
a_n: 0 30 54 102 106 154 172 186 250 264 282 330 334 382 406 436
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: 436
Found by: matali
db: batch=73, k=16, 30 24 48 4 48 18 14 64

SPT(16)	813695798000783053	0 54 94 96 130 174 180 186 208 214 220 264 298 300 340 394	-459067893594
SPT(18)	813695893482332309	0 38 44 74 78 80 108 140 218 270 348 380 408 410 414 444 450 488	-363586344338
SPT(16)	813695902276275077	0 20 54 56 66 80 132 146 210 224 276 290 300 302 336 356	-354792401570
STPT(10)	813695918013732119	0 2 42 44 60 62 78 80 120 122	-339054944528
TPT(14)	813695994441355097	0 2 90 92 132 134 204 206 534 536 540 542 582 584	-262627321550
SPT(16)	813696020223423697	0 6 12 24 42 54 66 76 210 220 232 244 262 274 280 286	-236845252950
SPT(16)	813696546811817021	0 8 36 38 56 80 86 92 156 162 168 192 210 212 240 248	289743140374
STPT(10)	813696869156478491	0 2 30 32 60 62 90 92 120 122	612087801844
SPT(16)	813696945682345759	0 4 24 30 34 58 90 100 102 112 144 168 172 178 198 202	688613669112
TPT(14)	813697037469386909	0 2 42 44 60 62 102 104 150 152 168 170 198 200	780400710262
SPT(16)	813697192802356417	0 84 102 120 126 162 174 190 216 232 244 280 286 304 322 406	935733679770