Prime p₀= 1319918244388747667 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 30 12 18 6 6 54 54 6 6 18 12 30 (?)
a_n: 0 30 42 60 66 72 126 180 186 192 210 222 252
All 13 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 252
Found by: Megacruncher
db: batch=77, k=13, 30 12 18 6 6 54

SPT(16)	1319917024717856527	0 4 46 100 102 166 184 216 250 282 300 364 366 420 462 466	-1219670891140
STPT(10)	1319917052004922067	0 2 54 56 72 74 90 92 144 146	-1192383825600
SPT(16)	1319917195276941757	0 34 66 112 156 174 202 214 222 234 262 280 324 370 402 436	-1049111805910
SPT(16)	1319917429658310731	0 6 42 48 50 56 66 80 108 122 132 138 140 146 182 188	-814730436936
SPT(16)	1319917898419781723	0 80 90 96 140 164 206 216 248 258 300 324 368 374 384 464	-345968965944
SPT(16)	1319918179036620941	0 26 42 86 98 120 138 152 186 200 218 240 252 296 312 338	-65352126726
STPT(10)	1319918278022790947	0 2 12 14 72 74 132 134 144 146	33634043280
STPT(10)	1319919210663241421	0 2 30 32 78 80 126 128 156 158	966274493754
SPT(16)	1319919217231439369	0 2 18 30 44 54 72 84 98 110 128 138 152 164 180 182	972842691702
SPT(16)	1319919309176905771	0 6 10 90 96 118 178 190 306 318 378 400 406 486 490 496	1064788158104
TPT(14)	1319919577740975257	0 2 90 92 102 104 114 116 180 182 210 212 252 254	1333352227590