Prime p₀= 378642124321161109 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 54 16 20 4 6 14 4 14 6 4 20 16 54 (?)
a_n: 0 54 70 90 94 100 114 118 132 138 142 162 178 232
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 232
Found by: Cruncher Pete
db: batch=70, k=14, 54 16 20 4 6 14 4

SPT(14)	378642059782062641	0 6 36 42 48 96 116 162 182 230 236 242 272 278	-64539098468
SPT(14)	378642078281728769	0 8 50 62 98 138 162 200 224 264 300 312 354 362	-46039432340
SPT(14)	378642101682814883	0 30 36 78 116 134 144 170 180 198 236 278 284 314	-22638346226
SPT(14)	378642110552100029	0 24 104 108 134 192 230 252 290 348 374 378 458 482	-13769061080
SPT(14)	378642116619659597	0 12 96 146 180 206 260 306 360 386 420 470 554 566	-7701501512
SPT(14)	378642120601106099	0 2 8 30 44 80 90 122 132 168 182 204 210 212	-3720055010
SPT(14)	378642146232218593	0 30 36 60 88 90 118 126 154 156 184 208 214 244	21911057484
SPT(16)	378642155424859567	0 40 66 90 132 150 192 196 216 220 262 280 322 346 372 412	31103698458
SPT(14)	378642165519814327	0 40 54 60 96 106 120 136 150 160 196 202 216 256	41198653218
STPT(10)	378642179538236111	0 2 36 38 78 80 120 122 156 158	55217075002
SPT(14)	378642196115079577	0 6 36 46 64 66 70 150 154 156 174 184 214 220	71793918468