Prime p₀= 1268597671798418321 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Megacruncher
db: batch=77, k=10, 2 4 2 40 2

SPT(16)	1268596310053924541	0 6 50 96 158 180 188 198 200 210 218 240 302 348 392 398	-1361744493780
STPT(10)	1268596710524692091	0 2 6 8 48 50 90 92 96 98	-961273726230
SPT(16)	1268596777315397239	0 28 40 58 72 112 120 138 184 202 210 250 264 282 294 322	-894483021082
SPT(16)	1268596887233688329	0 18 48 78 84 98 168 188 240 260 330 344 350 380 410 428	-784564729992
STPT(10)	1268597192395841981	0 2 30 32 78 80 126 128 156 158	-479402576340
SPT(16)	1268597605087233271	0 6 12 22 70 82 112 142 180 210 240 252 300 310 316 322	-66711185050
SPT(16)	1268597775652940377	0 12 36 106 190 220 232 276 280 324 336 366 450 520 544 556	103854522056
SPT(16)	1268597959729252151	0 2 30 42 68 102 108 140 168 200 206 240 266 278 306 308	287930833830
STPT(10)	1268598120940072421	0 2 36 38 78 80 120 122 156 158	449141654100
SPT(16)	1268598413472801581	0 42 102 140 150 176 200 228 230 258 282 308 318 356 416 458	741674383260
SPT(16)	1268598727265029361	0 18 38 42 50 78 146 180 188 222 290 318 326 330 350 368	1055466611040