Prime p₀= 1232856350517122657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: biodoc
db: batch=77, k=10, 2 28 2 10 2

STPT(10)	1232855592591839969	0 2 18 20 30 32 42 44 60 62	-757925282688
STPT(10)	1232855794060042949	0 2 18 20 30 32 42 44 60 62	-556457079708
SPT(16)	1232855824411038197	0 12 42 62 66 80 140 152 210 222 282 296 300 320 350 362	-526106084460
SPT(16)	1232855880787069871	0 30 50 72 80 96 122 156 176 210 236 252 260 282 302 332	-469730052786
STPT(10)	1232855959484599139	0 2 18 20 30 32 42 44 60 62	-391032523518
STPT(10)	1232856132090134267	0 2 42 44 72 74 102 104 144 146	-218426988390
SPT(16)	1232856439823233553	0 6 14 18 20 38 54 60 104 110 126 144 146 150 158 164	89306110896
SPT(16)	1232856533031197909	0 2 18 30 32 80 92 98 102 108 120 168 170 182 198 200	182514075252
SPT(16)	1232856830994512617	0 6 64 144 154 166 174 196 270 292 300 312 322 402 460 466	480477389960
STPT(10)	1232856880316764247	0 2 30 32 42 44 54 56 84 86	529799641590
STPT(10)	1232856906985489241	0 2 30 32 78 80 126 128 156 158	556468366584