Prime p₀= 1016556874220005219 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 18 2 4 96 50 6 22 6 50 96 4 2 18 34 (?)
a_n: 0 34 52 54 58 154 204 210 232 238 288 384 388 390 408 442
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: 442
Found by: stoneageman
db: batch=76, k=16, 34 18 2 4 96 50 6 22

SPT(16)	1016555669736848873	0 20 24 36 38 56 60 66 98 104 108 126 128 140 144 164	-1204483156346
SPT(18)	1016556024877985989	0 18 24 48 78 82 88 144 154 228 238 294 300 304 334 358 364 382	-849342019230
SPT(16)	1016556573164703017	0 14 44 56 110 140 174 200 210 236 270 300 354 366 396 410	-301055302202
SPT(16)	1016556580087554371	0 6 8 20 32 38 60 68 90 98 120 126 138 150 152 158	-294132450848
STPT(10)	1016556681609914741	0 2 6 8 18 20 30 32 36 38	-192610090478
SPT(16)	1016556727959081847	0 42 54 72 76 90 126 174 202 250 286 300 304 322 334 376	-146260923372
SPT(16)	1016556876756262987	0 34 52 70 94 96 112 124 132 144 160 162 186 204 222 256	2536257768
STPT(10)	1016557060723542587	0 2 12 14 42 44 72 74 84 86	186503537368
STPT(10)	1016557251489284171	0 2 6 8 18 20 30 32 36 38	377269278952
SPT(13)	1016557290882384973	0 30 66 108 126 138 168 198 210 228 270 306 336	416662379754
STPT(10)	1016557307149137569	0 2 12 14 30 32 48 50 60 62	432929132350