Prime p₀= 1028097422715403121 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: HenkM
db: batch=76, k=10, 2 4 2 40 2

SPT(16)	1028096352463126447	0 12 34 54 70 76 90 124 132 166 180 186 202 222 244 256	-1070252276674
STPT(10)	1028096682334085657	0 2 42 44 72 74 102 104 144 146	-740381317464
STPT(10)	1028097089781272879	0 2 18 20 30 32 42 44 60 62	-332934130242
STPT(12)	1028097129073474697	0 2 12 14 24 26 30 32 42 44 54 56	-293641928424
STPT(10)	1028097170944903427	0 2 30 32 42 44 54 56 84 86	-251770499694
TPT(14)	1028097330320945411	0 2 90 92 126 128 156 158 168 170 216 218 258 260	-92394457710
STPT(10)	1028097541502640137	0 2 12 14 42 44 72 74 84 86	118787237016
SPT(16)	1028097715849165733	0 24 38 48 66 80 116 144 170 198 234 248 266 276 290 314	293133762612
STPT(10)	1028098040464831937	0 2 30 32 42 44 54 56 84 86	617749428816
SPT(16)	1028098413620713541	0 8 32 38 78 108 110 120 140 150 152 182 222 228 252 260	990905310420
SPT(16)	1028098573692887299	0 42 54 78 94 100 130 144 148 162 192 198 214 238 250 292	1150977484178