Prime p₀= 2120005982170996817 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 40 2 28 2

TPT(14)	2120005016308436987	0 2 42 44 120 122 162 164 210 212 330 332 342 344	-965862559830
STPT(10)	2120005139223974669	0 2 42 44 60 62 78 80 120 122	-842947022148
SPT(16)	2120005447027949519	0 8 42 48 54 78 104 122 150 168 194 218 224 230 264 272	-535143047298
SPT(16)	2120005604670267217	0 10 24 36 70 82 120 154 192 226 264 276 310 322 336 346	-377500729600
SPT(16)	2120005683316759417	0 6 22 34 40 64 126 132 154 160 222 246 252 264 280 286	-298854237400
SPT(16)	2120005908795085963	0 10 58 64 78 100 148 166 168 186 234 256 270 276 324 334	-73375910854
SPT(16)	2120006075522168179	0 22 24 40 42 78 100 108 124 132 154 190 192 208 210 232	93351171362
SPT(16)	2120006515709485817	0 42 50 56 74 122 140 162 164 186 204 252 270 276 284 326	533538489000
STPT(10)	2120006588732459627	0 2 30 32 72 74 114 116 144 146	606561462810
STPT(10)	2120006625785749499	0 2 42 44 120 122 198 200 240 242	643614752682
SPT(16)	2120006630003634139	0 10 70 78 88 118 154 180 202 228 264 294 304 312 372 382	647832637322