Prime p₀= 1283978352176174267 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: Cruncher Pete
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1283976272421123179	0 8 12 38 42 84 134 164 348 378 428 470 474 500 504 512	-2079755051088
STPT(10)	1283976361453272437	0 2 30 32 42 44 54 56 84 86	-1990722901830
SPT(16)	1283976684834910309	0 18 22 28 34 40 42 48 124 130 132 138 144 150 154 172	-1667341263958
SPT(16)	1283977386310243199	0 24 50 92 110 150 152 164 168 180 182 222 240 282 308 332	-965865931068
STPT(10)	1283977542985161767	0 2 12 14 42 44 72 74 84 86	-809191012500
TPT(14)	1283977556685617999	0 2 162 164 168 170 210 212 240 242 270 272 282 284	-795490556268
SPT(16)	1283978708426227039	0 4 22 30 58 90 100 102 130 132 142 174 202 210 228 232	356250052772
SPT(16)	1283978858740246519	0 34 70 138 142 144 154 190 222 258 268 270 274 342 378 412	506564072252
SPT(16)	1283978888142638173	0 54 90 100 124 168 178 250 318 390 400 444 468 478 514 568	535966463906
STPT(10)	1283978989534214117	0 2 42 44 72 74 102 104 144 146	637358039850
STPT(10)	1283979041105846357	0 2 30 32 42 44 54 56 84 86	688929672090