Prime p₀= 1268598120940072421 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Megacruncher
db: batch=77, k=10, 2 34 2 40 2

SPT(16)	1268596887233688329	0 18 48 78 84 98 168 188 240 260 330 344 350 380 410 428	-1233706384092
STPT(10)	1268597192395841981	0 2 30 32 78 80 126 128 156 158	-928544230440
SPT(16)	1268597605087233271	0 6 12 22 70 82 112 142 180 210 240 252 300 310 316 322	-515852839150
STPT(10)	1268597671798418321	0 2 6 8 48 50 90 92 96 98	-449141654100
SPT(16)	1268597775652940377	0 12 36 106 190 220 232 276 280 324 336 366 450 520 544 556	-345287132044
SPT(16)	1268597959729252151	0 2 30 42 68 102 108 140 168 200 206 240 266 278 306 308	-161210820270
SPT(16)	1268598413472801581	0 42 102 140 150 176 200 228 230 258 282 308 318 356 416 458	292532729160
SPT(16)	1268598727265029361	0 18 38 42 50 78 146 180 188 222 290 318 326 330 350 368	606324956940
SPT(16)	1268598773482590677	0 14 36 54 56 92 164 182 204 222 294 330 332 350 372 386	652542518256
SPT(16)	1268598795428028881	0 26 32 38 50 66 102 120 308 326 362 378 390 396 402 428	674487956460
SPT(16)	1268598795925320661	0 6 16 60 70 72 76 180 202 306 310 312 322 366 376 382	674985248240