Prime p₀= 1279920689613223657 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 52 20 4 18 66 66 86 22 86 66 66 18 4 20 52 (?)
a_n: 0 52 72 76 94 160 226 312 334 420 486 552 570 574 594 646
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: arkiss
db: batch=77, k=16, 52 20 4 18 66 66 86 22

SPT(16)	1279918790758631899	0 10 40 64 72 88 108 124 168 184 204 220 228 252 282 292	-1898854591758
STPT(10)	1279919335094981699	0 2 18 20 30 32 42 44 60 62	-1354518241958
SPT(16)	1279919583176124139	0 18 40 54 60 82 118 174 208 264 300 322 328 342 364 382	-1106437099518
SPT(16)	1279920087712928843	0 24 38 54 74 90 96 104 150 158 164 180 200 216 230 254	-601900294814
STPT(10)	1279920197452072331	0 2 36 38 138 140 240 242 276 278	-492161151326
SPT(16)	1279920507957892561	0 18 22 60 70 78 106 132 166 192 220 228 238 276 280 298	-181655331096
SPT(13)	1279920848412588667	0 6 36 90 102 120 126 132 150 162 216 246 252	158799365010
SPT(16)	1279920992988179611	0 70 72 90 112 138 156 196 222 262 280 306 328 346 348 418	303374955954
STPT(10)	1279921006916903807	0 2 30 32 42 44 54 56 84 86	317303680150
SPT(16)	1279921752374538347	0 6 62 86 110 126 140 176 180 216 230 246 270 294 350 356	1062761314690
STPT(10)	1279921893861393659	0 2 30 32 60 62 90 92 120 122	1204248170002