Prime p₀= 123473195636609999 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 38 4 36 24 2 4 26 4 2 24 36 4 38 (?)
a_n: 0 38 42 78 102 104 108 134 138 140 164 200 204 242
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: 242
Found by: paulteo
db: batch=67, k=14, 38 4 36 24 2 4 26

SPT(14)	123473136230732923	0 34 46 60 66 120 144 220 244 298 304 318 330 364	-59405877076
SPT(14)	123473140976037551	0 6 20 66 86 98 108 230 240 252 272 318 332 338	-54660572448
SPT(14)	123473155347340471	0 18 60 66 78 100 166 252 318 340 352 358 400 418	-40289269528
TPT(12)	123473169143270579	0 2 12 14 78 80 90 92 120 122 162 164	-26493339420
SPT(14)	123473179004573051	0 12 90 162 222 288 290 348 350 416 476 548 626 638	-16632036948
SPT(14)	123473189878880389	0 58 64 70 78 94 118 144 168 184 192 198 204 262	-5757729610
SPT(14)	123473205875611567	0 10 40 54 66 70 72 94 96 100 112 126 156 166	10239001568
SPT(14)	123473207535386833	0 18 34 40 76 124 166 258 300 348 384 390 406 424	11898776834
TPT(12)	123473227286004611	0 2 30 32 96 98 120 122 138 140 156 158	31649394612
SPT(14)	123473229806410681	0 40 60 82 130 136 150 172 186 192 240 262 282 322	34169800682
TPT(12)	123473237921370011	0 2 6 8 36 38 78 80 96 98 108 110	42284760012