Prime p₀= 1531877743175099629 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 42 10 20 12 24 6 4 6 24 12 20 10 42 30 (?)
a_n: 0 30 72 82 102 114 138 144 148 154 178 190 210 220 262 292
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: 292
Found by: crashtech
db: batch=78, k=16, 30 42 10 20 12 24 6 4

STPT(10)	1531876318125365711	0 2 36 38 78 80 120 122 156 158	-1425049733918
SPT(16)	1531876379549029229	0 14 18 30 60 162 170 192 260 282 290 392 422 434 438 452	-1363626070400
SPT(16)	1531876428238841551	0 40 72 76 100 102 126 132 136 142 166 168 192 196 228 268	-1314936258078
STPT(10)	1531876659402995831	0 2 30 32 78 80 126 128 156 158	-1083772103798
STPT(10)	1531876784539868909	0 2 18 20 30 32 42 44 60 62	-958635230720
STPT(10)	1531877272426733927	0 2 30 32 60 62 90 92 120 122	-470748365702
STPT(10)	1531877846258715227	0 2 30 32 42 44 54 56 84 86	103083615598
SPT(16)	1531878289236503431	0 18 48 66 72 138 156 216 262 322 340 406 412 430 460 478	546061403802
SPT(18)	1531878677533925713	0 6 24 46 58 66 90 100 114 130 144 154 178 186 198 220 238 244	934358826084
STPT(10)	1531878844047179657	0 2 12 14 42 44 72 74 84 86	1100872080028
SPT(16)	1531878875503058029	0 12 28 54 90 100 114 124 168 178 192 202 238 264 280 292	1132327958400