Prime p₀= 1124717180375442551 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 8 34 8 10 6 20 12 52 12 20 6 10 8 34 8 (?)
a_n: 0 8 42 50 60 66 86 98 150 162 182 188 198 206 240 248
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: 248
Found by: mcf2020
db: batch=76, k=16, 8 34 8 10 6 20 12 52

SPT(16)	1124715976388018857	0 6 12 16 24 52 154 160 216 222 324 352 360 364 370 376	-1203987423694
STPT(10)	1124716174127014949	0 2 18 20 30 32 42 44 60 62	-1006248427602
STPT(10)	1124716504294134779	0 2 18 20 30 32 42 44 60 62	-676081307772
TPT(14)	1124716727744505227	0 2 12 14 90 92 132 134 192 194 222 224 300 302	-452630937324
SPT(16)	1124716876072227797	0 2 6 30 42 56 60 66 80 86 90 104 116 140 144 146	-304303214754
SPT(16)	1124717046057173171	0 32 36 38 42 50 56 66 92 102 108 116 120 122 126 158	-134318269380
TPT(14)	1124717471425499849	0 2 18 20 120 122 132 134 228 230 282 284 300 302	291050057298
STPT(10)	1124717725725758807	0 2 30 32 42 44 54 56 84 86	545350316256
SPT(20)	1124718034075195783	0 10 84 94 100 130 174 198 256 276 328 348 406 430 474 504 510 520 594 604	853699753232
SPT(16)	1124718479610086939	0 8 12 50 68 78 110 152 168 210 242 252 270 308 312 320	1299234644388
TPT(14)	1124718717141788651	0 2 120 122 150 152 156 158 180 182 198 200 210 212	1536766346100