Prime p₀= 1124831275033763777 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: crashtech
db: batch=76, k=10, 2 28 2 10 2

TPT(14)	1124830096060595471	0 2 96 98 150 152 180 182 360 362 390 392 456 458	-1178973168306
SPT(16)	1124830143243960443	0 44 56 90 110 156 180 210 224 254 278 324 344 378 390 434	-1131789803334
SPT(16)	1124830180122400331	0 12 26 32 60 68 72 138 170 236 240 248 276 282 296 308	-1094911363446
SPT(16)	1124830417711518923	0 14 54 126 140 150 170 186 194 210 230 240 254 326 366 380	-857322244854
SPT(16)	1124831119981674691	0 10 22 36 40 46 66 70 78 82 102 108 112 126 138 148	-155052089086
STPT(10)	1124831144574809249	0 2 48 50 90 92 132 134 180 182	-130458954528
STPT(10)	1124831351359296101	0 2 96 98 138 140 180 182 276 278	76325532324
SPT(16)	1124831510994047543	0 14 18 110 134 200 228 234 404 410 438 504 528 620 624 638	235960283766
STPT(10)	1124831634910825739	0 2 42 44 120 122 198 200 240 242	359877061962
TPT(14)	1124831652771424049	0 2 12 14 18 20 72 74 240 242 258 260 270 272	377737660272
SPT(16)	1124831691473370481	0 12 30 46 112 150 196 198 250 252 298 336 402 418 436 448	416439606704