Prime p₀= 1074056739159894857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: ginga
db: batch=76, k=10, 2 52 2 76 2

SPT(16)	1074055335967412483	0 14 24 84 86 90 104 116 138 150 164 168 170 230 240 254	-1403192482374
SPT(16)	1074056109273599281	0 40 78 126 162 190 222 238 300 316 348 376 412 460 498 538	-629886295576
STPT(10)	1074056221200593399	0 2 18 20 30 32 42 44 60 62	-517959301458
SPT(16)	1074056334369322411	0 52 60 70 120 126 136 196 336 396 406 412 462 472 480 532	-404790572446
TPT(14)	1074056362838908781	0 2 36 38 48 50 120 122 126 128 138 140 288 290	-376320986076
STPT(10)	1074056595984651689	0 2 12 14 90 92 168 170 180 182	-143175243168
SPT(16)	1074057628589729687	0 12 44 120 144 150 200 210 236 246 296 302 326 402 434 446	889429834830
SPT(16)	1074057759469842713	0 14 24 26 38 126 168 186 278 296 338 426 438 440 450 464	1020309947856
STPT(10)	1074057878456578427	0 2 24 26 42 44 60 62 84 86	1139296683570
SPT(16)	1074057944842930351	0 30 96 100 142 156 162 166 282 286 292 306 348 352 418 448	1205683035494
SPT(16)	1074057966556572763	0 54 90 126 154 160 184 198 346 360 384 390 418 454 490 544	1227396677906