Prime p₀= 301015503691295923 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 14 16 26 28 30 62 30 28 26 16 14 4 (?)
a_n: 0 4 18 34 60 88 118 180 210 238 264 280 294 298
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: 298
Found by: BlackGoose05
db: batch=69, k=14, 4 14 16 26 28 30 62

SPT(14)	301015402916777489	0 42 72 98 110 120 128 132 140 150 162 188 218 260	-100774518434
SPT(14)	301015429822202101	0 42 90 96 100 112 130 138 156 168 172 178 226 268	-73869093822
STPT(10)	301015429988842157	0 2 30 32 42 44 54 56 84 86	-73702453766
SPT(14)	301015490264627041	0 28 52 60 70 82 100 150 168 180 190 198 222 250	-13426668882
SPT(14)	301015495630086301	0 18 58 100 106 126 136 162 172 192 198 240 280 298	-8061209622
SPT(14)	301015496286581347	0 40 66 82 102 112 124 192 204 214 234 250 276 316	-7404714576
SPT(14)	301015505864519543	0 18 26 38 48 60 80 126 146 158 168 180 188 206	2173223620
SPT(14)	301015508575430527	0 16 42 90 162 172 190 222 240 250 322 370 396 412	4884134604
TPT(12)	301015528852993061	0 2 6 8 90 92 120 122 126 128 156 158	25161697138
TPT(12)	301015535358678071	0 2 96 98 126 128 138 140 150 152 156 158	31667382148
SPT(14)	301015562583728827	0 6 16 24 42 46 64 72 90 94 112 120 130 136	58892432904