Prime p₀= 1087616074205928257 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: [SG]ATA-Rolf
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1087615066508721769	0 30 42 72 88 102 168 238 282 352 418 432 448 478 490 520	-1007697206488
STPT(10)	1087615253216142281	0 2 36 38 78 80 120 122 156 158	-820989785976
TPT(16)	1087615264717876577	0 2 60 62 114 116 174 176 210 212 222 224 270 272 324 326	-809488051680
STPT(10)	1087615312396915187	0 2 54 56 72 74 90 92 144 146	-761809013070
STPT(10)	1087615796378775017	0 2 12 14 72 74 132 134 144 146	-277827153240
STPT(10)	1087615867203391991	0 2 48 50 108 110 168 170 216 218	-207002536266
STPT(10)	1087616212524545447	0 2 42 44 72 74 102 104 144 146	138318617190
STPT(10)	1087616213467346411	0 2 30 32 60 62 90 92 120 122	139261418154
SPT(16)	1087616272081332197	0 2 44 72 122 156 176 206 210 240 260 294 344 372 414 416	197875403940
STPT(10)	1087616324007949037	0 2 30 32 42 44 54 56 84 86	249802020780
SPT(16)	1087616742323982413	0 8 44 50 78 96 98 114 140 156 158 176 204 210 246 254	668118054156