Prime p₀= 1264393682803400057 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: Megacruncher
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1264393225097524051	0 40 52 102 118 138 160 162 178 180 202 222 238 288 300 340	-457705876006
STPT(10)	1264393278889857827	0 2 42 44 72 74 102 104 144 146	-403913542230
STPT(10)	1264393339116953207	0 2 30 32 42 44 54 56 84 86	-343686446850
STPT(10)	1264393361198561651	0 2 36 38 78 80 120 122 156 158	-321604838406
STPT(10)	1264393480529433809	0 2 42 44 60 62 78 80 120 122	-202273966248
STPT(12)	1264393549404020669	0 2 30 32 132 134 138 140 240 242 270 272	-133399379388
STPT(10)	1264393810372198871	0 2 30 32 78 80 126 128 156 158	127568798814
SPT(16)	1264393998088167481	0 16 36 82 96 106 126 132 316 322 342 352 366 412 432 448	315284767424
SPT(16)	1264394038133377673	0 18 30 36 56 60 110 168 188 246 296 300 320 326 338 356	355329977616
SPT(16)	1264394076945065069	0 14 24 78 104 108 128 150 152 174 194 198 224 278 288 302	394141665012
STPT(10)	1264394232834676121	0 2 6 8 48 50 90 92 96 98	550031276064