Prime p₀= 1291138945053551651 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: HenkM
db: batch=77, k=10, 2 28 2 46 2

SPT(16)	1291137558259677829	0 138 172 178 220 228 238 262 270 294 304 312 354 360 394 532	-1386793873822
SPT(16)	1291137770611109089	0 12 18 130 148 168 204 294 328 418 454 474 492 604 610 622	-1174442442562
STPT(10)	1291137820026267527	0 2 12 14 42 44 72 74 84 86	-1125027284124
STPT(10)	1291138201028455469	0 2 18 20 30 32 42 44 60 62	-744025096182
SPT(16)	1291138504209292747	0 12 106 136 166 172 192 196 246 250 270 276 306 336 430 442	-440844258904
TPT(14)	1291138526323039529	0 2 42 44 78 80 102 104 120 122 132 134 168 170	-418730512122
SPT(16)	1291139175367545841	0 42 52 58 88 102 162 168 172 178 238 252 282 288 298 340	230313994190
STPT(10)	1291139601800271647	0 2 30 32 72 74 114 116 144 146	656746719996
STPT(10)	1291139608268090687	0 2 30 32 42 44 54 56 84 86	663214539036
SPT(16)	1291139797155413707	0 36 54 60 90 112 120 166 210 256 264 286 316 322 340 376	852101862056
SPT(16)	1291139801499611821	0 10 36 42 58 108 168 172 336 340 400 450 466 472 498 508	856446060170