Prime p₀= 2294081618209494899 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Ben
db: batch=81, k=10, 2 40 2 16 2

STPT(10)	2294080858402740191	0 2 36 38 78 80 120 122 156 158	-759806754708
STPT(10)	2294080992048790949	0 2 12 14 90 92 168 170 180 182	-626160703950
STPT(10)	2294081203045306247	0 2 42 44 72 74 102 104 144 146	-415164188652
SPT(16)	2294081243771139709	0 12 54 90 102 112 124 130 132 138 150 160 172 208 250 262	-374438355190
STPT(10)	2294081423112362801	0 2 30 32 78 80 126 128 156 158	-195097132098
SPT(16)	2294081515509540437	0 2 20 24 32 66 74 92 114 132 140 174 182 186 204 206	-102699954462
STPT(10)	2294081700535842377	0 2 30 32 42 44 54 56 84 86	82326347478
TPT(14)	2294081921564553257	0 2 60 62 102 104 132 134 174 176 210 212 282 284	303355058358
SPT(16)	2294082097661632111	0 28 52 60 78 106 130 148 150 168 192 220 238 246 270 298	479452137212
SPT(16)	2294082625094379239	0 42 50 54 92 108 110 120 212 222 224 240 278 282 290 332	1006884884340
SPT(16)	2294083239739841327	0 44 66 96 120 134 194 222 224 252 312 326 350 380 402 446	1621530346428