Prime p₀= 4364299343614120679 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: arkiss
db: batch=85, k=10, 2 16 2 10 2

STPT(10)	4364297795384583767	0 2 12 14 42 44 72 74 84 86	-1548229536912
STPT(10)	4364298237628919801	0 2 30 32 78 80 126 128 156 158	-1105985200878
STPT(10)	4364298420348943631	0 2 36 38 78 80 120 122 156 158	-923265177048
STPT(10)	4364298556584088007	0 2 30 32 72 74 114 116 144 146	-787030032672
STPT(10)	4364298669616568297	0 2 24 26 42 44 60 62 84 86	-673997552382
SPT(16)	4364298943070542733	0 24 54 60 66 126 138 158 396 416 428 488 494 500 530 554	-400543577946
SPT(16)	4364299548506293829	0 20 72 138 168 170 174 200 222 248 252 254 284 350 402 422	204892173150
SPT(16)	4364299735081534771	0 40 42 78 90 102 138 150 190 202 238 250 262 298 300 340	391467414092
SPT(16)	4364299912938685717	0 4 54 100 106 154 162 244 252 334 342 390 396 442 492 496	569324565038
STPT(10)	4364300476360670309	0 2 48 50 60 62 72 74 120 122	1132746549630
TPT(14)	4364301169391199719	0 2 60 62 90 92 102 104 132 134 138 140 270 272	1825777079040