Prime p₀= 1022777582443663127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: Theadalus
db: batch=76, k=10, 2 52 2 16 2

STPT(10)	1022775827799379439	0 2 30 32 60 62 90 92 120 122	-1754644283688
SPT(16)	1022776334880169201	0 12 48 76 78 120 142 178 180 216 238 280 282 310 346 358	-1247563493926
SPT(16)	1022776506760144979	0 20 38 62 72 98 128 134 168 174 204 230 240 264 282 302	-1075683518148
STPT(10)	1022776734267268229	0 2 18 20 30 32 42 44 60 62	-848176394898
STPT(10)	1022777197211082737	0 2 54 56 72 74 90 92 144 146	-385232580390
STPT(10)	1022777530657575521	0 2 6 8 48 50 90 92 96 98	-51786087606
SPT(16)	1022778040219127851	0 16 60 72 126 150 168 220 288 340 358 382 436 448 492 508	457775464724
STPT(10)	1022778289596950981	0 2 6 8 48 50 90 92 96 98	707153287854
STPT(10)	1022778318861784097	0 2 30 32 42 44 54 56 84 86	736418120970
SPT(16)	1022778485509538729	0 2 12 30 44 48 54 98 114 158 164 168 182 200 210 212	903065875602
SPT(16)	1022778561156695423	0 36 44 56 80 84 120 146 198 224 260 264 288 300 308 344	978713032296