Prime p₀= 1089917423118450527 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: crashtech
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1089916429560678047	0 12 26 42 60 110 242 272 360 390 522 572 590 606 620 632	-993557772480
STPT(10)	1089916725580313957	0 2 60 62 72 74 84 86 144 146	-697538136570
SPT(16)	1089916777951050919	0 78 84 130 148 150 154 160 162 168 172 174 192 238 244 322	-645167399608
SPT(16)	1089916804974989627	0 6 42 80 84 86 150 174 182 206 270 272 276 314 350 356	-618143460900
SPT(16)	1089916821939677239	0 22 40 72 112 114 118 132 190 204 208 210 250 282 300 322	-601178773288
STPT(10)	1089917208331738571	0 2 36 38 78 80 120 122 156 158	-214786711956
SPT(16)	1089917664949601437	0 96 120 154 166 252 262 330 406 474 484 570 582 616 640 736	241831150910
STPT(10)	1089918404627731277	0 2 30 32 42 44 54 56 84 86	981509280750
STPT(10)	1089918429321643589	0 2 48 50 90 92 132 134 180 182	1006203193062
SPT(16)	1089918580204346779	0 28 40 42 102 120 130 178 204 252 262 280 340 342 354 382	1157085896252
SPT(16)	1089918718272115307	0 24 30 50 80 90 102 182 192 272 284 294 324 344 350 374	1295153664780