Prime p₀= 1022778289596950981 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: Theadalus
db: batch=76, k=10, 2 4 2 40 2

SPT(16)	1022776506760144979	0 20 38 62 72 98 128 134 168 174 204 230 240 264 282 302	-1782836806002
STPT(10)	1022776734267268229	0 2 18 20 30 32 42 44 60 62	-1555329682752
STPT(10)	1022777197211082737	0 2 54 56 72 74 90 92 144 146	-1092385868244
STPT(10)	1022777530657575521	0 2 6 8 48 50 90 92 96 98	-758939375460
STPT(10)	1022777582443663127	0 2 54 56 72 74 90 92 144 146	-707153287854
SPT(16)	1022778040219127851	0 16 60 72 126 150 168 220 288 340 358 382 436 448 492 508	-249377823130
STPT(10)	1022778318861784097	0 2 30 32 42 44 54 56 84 86	29264833116
SPT(16)	1022778485509538729	0 2 12 30 44 48 54 98 114 158 164 168 182 200 210 212	195912587748
SPT(16)	1022778561156695423	0 36 44 56 80 84 120 146 198 224 260 264 288 300 308 344	271559744442
SPT(16)	1022778564707029969	0 12 24 124 132 144 222 280 282 340 418 430 438 538 550 562	275110078988
SPT(16)	1022779008724324009	0 58 88 120 132 184 190 204 208 222 228 280 292 324 354 412	719127373028