Prime p₀= 2301689423676326741 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 36 2 40 2 60 16 20 6 4 6 20 16 60 2 40 2 36 (?)
a_n: 0 36 38 78 80 140 156 176 182 186 192 212 228 288 290 330 332 368
All 18 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 368
Found by: FritzB
db: batch=81, k=18, 36 2 40 2 60 16 20 6 4

SPT(16)	2301688816941711209	0 8 42 48 60 80 84 102 140 158 162 182 194 200 234 242	-606734615532
STPT(10)	2301688955835944837	0 2 30 32 42 44 54 56 84 86	-467840381904
STPT(10)	2301689004274055021	0 2 66 68 108 110 150 152 216 218	-419402271720
SPT(16)	2301689182617956161	0 28 78 106 112 118 142 156 202 216 240 246 252 280 330 358	-241058370580
SPT(16)	2301689365021684549	0 18 22 42 72 84 88 112 150 174 178 190 220 240 244 262	-58654642192
STPT(10)	2301689377644573347	0 2 12 14 72 74 132 134 144 146	-46031753394
STPT(10)	2301689830867012679	0 2 42 44 60 62 78 80 120 122	407190685938
SPT(16)	2301689893715542769	0 8 24 62 74 90 92 104 138 150 152 168 180 218 234 242	470039216028
SPT(16)	2301690385102772747	0 44 56 74 122 144 150 174 182 206 212 234 282 300 312 356	961426446006
SPT(16)	2301690426641360633	0 104 116 126 134 138 264 270 344 350 476 480 488 498 510 614	1002965033892
STPT(10)	2301690486843352901	0 2 6 8 18 20 30 32 36 38	1063167026160