Prime p₀= 2308932586208256059 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2308930864969663331	0 12 42 56 78 96 108 132 236 260 272 290 312 326 356 368	-1721238592728
TPT(14)	2308931053401971741	0 2 78 80 198 200 210 212 240 242 276 278 306 308	-1532806284318
STPT(12)	2308931074818955997	0 2 12 14 54 56 90 92 132 134 144 146	-1511389300062
SPT(16)	2308931302708173959	0 2 18 60 62 78 90 128 144 182 194 210 212 254 270 272	-1283500082100
TPT(14)	2308931486152632431	0 2 30 32 60 62 138 140 180 182 186 188 198 200	-1100055623628
SPT(16)	2308931907311270257	0 34 46 112 144 156 162 172 174 184 190 202 234 300 312 346	-678896985802
STPT(10)	2308932712123281887	0 2 24 26 42 44 60 62 84 86	125915025828
SPT(16)	2308932766167419201	0 42 50 66 68 90 98 132 236 270 278 300 302 318 326 368	179959163142
STPT(10)	2308933187440440521	0 2 36 38 78 80 120 122 156 158	601232184462
STPT(10)	2308933309463630789	0 2 78 80 120 122 162 164 240 242	723255374730
STPT(10)	2308933558194594341	0 2 90 92 108 110 126 128 216 218	971986338282