Prime p₀= 3035256712199815067 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: JonS
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	3035254472771559091	0 6 30 58 76 78 118 132 226 240 280 282 300 328 352 358	-2239428255976
TPT(14)	3035254818965758679	0 2 12 14 78 80 90 92 108 110 180 182 222 224	-1893234056388
STPT(10)	3035255027521413407	0 2 12 14 42 44 72 74 84 86	-1684678401660
SPT(16)	3035255197807508989	0 10 24 40 42 60 88 102 130 144 172 190 192 208 222 232	-1514392306078
SPT(16)	3035255841821899349	0 12 78 92 108 110 122 134 168 180 192 194 210 224 290 302	-870377915718
SPT(16)	3035256105727797361	0 40 76 102 106 112 120 142 186 208 216 222 226 252 288 328	-606472017706
SPT(16)	3035256759156616483	0 4 24 30 34 48 100 118 150 168 220 234 238 244 264 268	46956801416
STPT(10)	3035256878281093481	0 2 30 32 120 122 210 212 240 242	166081278414
STPT(10)	3035257183642491719	0 2 18 20 30 32 42 44 60 62	471442676652
SPT(16)	3035257231631050669	0 12 22 112 118 132 148 150 442 444 460 474 480 570 580 592	519431235602
STPT(10)	3035257384499099531	0 2 30 32 78 80 126 128 156 158	672299284464