Prime p₀= 79339301819583863 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 18 8 42 30 12 4 26 4 12 30 42 8 18 (?)
a_n: 0 18 26 68 98 110 114 140 144 156 186 228 236 254
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: 254
Found by: bluestick.eu
db: batch=67, k=14, 18 8 42 30 12 4 26

SPT(14)	79339246911924541	0 16 42 48 58 70 72 76 78 90 100 106 132 148	-54907659322
SPT(14)	79339248845711441	0 42 80 152 158 240 272 276 308 390 396 468 506 548	-52973872422
SPT(14)	79339278547458793	0 10 28 30 76 78 84 100 106 108 154 156 174 184	-23272125070
SPT(14)	79339283080950983	0 60 74 110 126 180 228 266 314 368 384 420 434 494	-18738632880
TPT(12)	79339289984139917	0 2 12 14 30 32 144 146 180 182 210 212	-11835443946
TPT(12)	79339300895216567	0 2 30 32 60 62 72 74 102 104 204 206	-924367296
SPT(16)	79339302598411133	0 66 80 84 116 150 230 258 326 354 434 468 500 504 518 584	778827270
SPT(14)	79339312164620141	0 2 36 56 60 86 90 98 102 128 132 152 186 188	10345036278
SPT(14)	79339312295008069	0 10 24 30 40 54 84 124 154 168 178 184 198 208	10475424206
TPT(12)	79339330398369269	0 2 90 92 198 200 222 224 228 230 252 254	28578785406
SPT(14)	79339330842932047	0 4 10 34 46 76 90 130 144 174 186 210 216 220	29023348184