Prime p₀= 4236430306977819751 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 12 46 20 40 2 30 10 8 64 8 10 30 2 40 20 46 12 (?)
a_n: 0 12 58 78 118 120 150 160 168 232 240 250 280 282 322 342 388 400
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: 400
Found by: Stony666
db: batch=85, k=18, 12 46 20 40 2 30 10 8 64

STPT(12)	4236428759624025647	0 2 12 14 42 44 60 62 90 92 102 104	-1547353794104
STPT(10)	4236429060508314581	0 2 6 8 18 20 30 32 36 38	-1246469505170
SPT(16)	4236429431986375271	0 20 42 98 128 138 176 198 200 222 260 270 300 356 378 398	-874991444480
SPT(16)	4236429634010318449	0 4 40 78 82 84 144 160 222 238 298 300 304 342 378 382	-672967501302
SPT(16)	4236429909832308697	0 34 42 46 66 70 106 124 132 150 186 190 210 214 222 256	-397145511054
SPT(16)	4236430058842203617	0 6 44 104 110 114 156 174 176 194 236 240 246 306 344 350	-248135616134
STPT(10)	4236430402875039737	0 2 30 32 42 44 54 56 84 86	95897219986
SPT(16)	4236431153594563423	0 30 34 40 64 76 106 126 148 168 198 210 234 240 244 274	846616743672
TPT(14)	4236432596752055657	0 2 12 14 42 44 102 104 144 146 180 182 192 194	2289774235906
STPT(10)	4236432721296195611	0 2 36 38 78 80 120 122 156 158	2414318375860
STPT(10)	4236433185954550289	0 2 18 20 60 62 102 104 120 122	2878976730538