Prime p₀= 383165420859161981 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 20 30 10 18 18 12 110 12 18 18 10 30 20 (?)
a_n: 0 20 50 60 78 96 108 218 230 248 266 276 306 326
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: 326
Found by: Cruncher Pete
db: batch=70, k=14, 20 30 10 18 18 12 110

SPT(13)	383165319256777399	0 18 30 60 84 90 114 138 144 168 198 210 228	-101602384582
SPT(14)	383165321387272577	0 2 6 44 80 86 104 132 150 156 192 230 234 236	-99471889404
SPT(14)	383165329015607011	0 46 52 58 96 100 112 156 168 172 210 216 222 268	-91843554970
SPT(14)	383165345399023409	0 18 24 32 80 98 110 222 234 252 300 308 314 332	-75460138572
SPT(14)	383165391910509283	0 4 64 70 78 84 106 108 130 136 144 150 210 214	-28948652698
TPT(12)	383165410878791459	0 2 48 50 78 80 162 164 198 200 438 440	-9980370522
SPT(14)	383165427446901101	0 18 48 80 116 122 126 182 186 192 228 260 290 308	6587739120
SPT(14)	383165440526268383	0 14 84 110 114 218 258 260 300 404 408 434 504 518	19667106402
STPT(10)	383165460237740417	0 2 30 32 42 44 54 56 84 86	39378578436
SPT(14)	383165461006766903	0 44 80 90 104 110 126 134 150 156 170 180 216 260	40147604922
SPT(14)	383165465332967897	0 20 32 86 114 126 144 152 170 182 210 264 276 296	44473805916