Prime p₀= 1223609144327346767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: biodoc
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1223606863306204463	0 6 14 20 36 56 66 78 86 98 108 128 144 150 158 164	-2281021142304
SPT(16)	1223607359766570293	0 36 116 144 168 254 260 270 284 294 300 386 410 438 518 554	-1784560776474
SPT(16)	1223607623098446967	0 10 30 42 52 94 162 184 210 232 300 342 352 364 384 394	-1521228899800
STPT(10)	1223608302617021999	0 2 18 20 30 32 42 44 60 62	-841710324768
STPT(10)	1223608667937234749	0 2 18 20 30 32 42 44 60 62	-476390112018
STPT(10)	1223608753001206181	0 2 36 38 78 80 120 122 156 158	-391326140586
STPT(10)	1223609484852793271	0 2 36 38 78 80 120 122 156 158	340525446504
TPT(14)	1223609917890054089	0 2 42 44 48 50 132 134 168 170 180 182 258 260	773562707322
SPT(16)	1223610133410542159	0 44 50 74 128 132 140 164 168 192 200 204 258 282 288 332	989083195392
SPT(16)	1223610360384915977	0 56 60 62 66 84 92 134 192 234 242 260 264 266 270 326	1216057569210
SPT(20)	1223610459006838807	0 10 22 36 84 102 114 130 150 154 192 196 216 232 244 262 310 324 336 346	1314679492040