Prime p₀= 1770121415456602259 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 40 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 162 164 240 242
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: 242
Found by: Orange Kid
db: batch=79, k=10, 2 76 2 40 2

SPT(16)	1770119292071038849	0 30 42 58 84 150 184 210 262 288 322 388 414 430 442 472	-2123385563410
STPT(10)	1770119645985180401	0 2 6 8 18 20 30 32 36 38	-1769471421858
STPT(10)	1770119755571110091	0 2 30 32 78 80 126 128 156 158	-1659885492168
SPT(16)	1770119863628691383	0 14 18 26 50 74 78 84 110 116 120 144 168 176 180 194	-1551827910876
SPT(16)	1770120167587952611	0 12 16 22 46 60 78 82 186 190 208 222 246 252 256 268	-1247868649648
STPT(10)	1770120675476671487	0 2 30 32 72 74 114 116 144 146	-739979930772
SPT(16)	1770121448480157041	0 78 110 156 168 176 216 236 240 260 300 308 320 366 398 476	33023554782
SPT(16)	1770121688399612623	0 10 130 148 166 186 208 228 238 258 280 300 318 336 456 466	272943010364
STPT(10)	1770122257360571669	0 2 78 80 120 122 162 164 240 242	841903969410
STPT(10)	1770122601244551569	0 2 72 74 120 122 168 170 240 242	1185787949310
SPT(16)	1770122777329667239	0 24 30 34 52 58 94 114 118 138 174 180 198 202 208 232	1361873064980