Prime p₀= 751951846721700301 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 10 26 16 24 62 118 32 12 118 12 32 118 62 24 16 26 10 (?)
a_n: 0 10 36 52 76 138 256 288 300 418 430 462 580 642 666 682 708 718
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: 718
Found by: GLeeM
db: batch=73, k=18, 10 26 16 24 62 118 32 12 118

STPT(10)	751951255079965571	0 2 36 38 78 80 120 122 156 158	-591641734730
SPT(18)	751951449408021403	0 24 34 46 58 76 84 90 94 150 154 160 168 186 198 210 220 244	-397313678898
SPT(16)	751951460607332659	0 18 24 42 108 142 144 154 258 268 270 304 370 388 394 412	-386114367642
STPT(10)	751951779082674977	0 2 42 44 72 74 102 104 144 146	-67639025324
STPT(10)	751951791606659387	0 2 42 44 72 74 102 104 144 146	-55115040914
STPT(10)	751951835715801767	0 2 54 56 72 74 90 92 144 146	-11005898534
SPT(16)	751951993596859141	0 10 16 126 172 190 192 232 240 280 282 300 346 456 462 472	146875158840
STPT(10)	751952235093378887	0 2 12 14 42 44 72 74 84 86	388371678586
SPT(16)	751952285856818887	0 10 16 36 84 100 114 126 130 142 156 172 220 240 246 256	439135118586
SPT(16)	751952339991944131	0 40 66 88 112 118 126 166 222 262 270 276 300 322 348 388	493270243830
STPT(10)	751952443323351071	0 2 6 8 48 50 90 92 96 98	596601650770