Prime p₀= 1126656886397437007 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: crashtech
db: batch=76, k=10, 2 28 2 10 2

TPT(14)	1126655899898449979	0 2 42 44 48 50 78 80 90 92 102 104 120 122	-986498987028
STPT(10)	1126656166573722077	0 2 42 44 72 74 102 104 144 146	-719823714930
STPT(10)	1126656203160328829	0 2 18 20 30 32 42 44 60 62	-683237108178
STPT(12)	1126656419241044519	0 2 18 20 42 44 78 80 102 104 120 122	-467156392488
TPT(14)	1126656720186595307	0 2 12 14 150 152 210 212 222 224 342 344 360 362	-166210841700
SPT(16)	1126656750974532671	0 32 38 56 62 90 116 122 126 132 158 186 192 210 216 248	-135422904336
TPT(14)	1126657104855852599	0 2 42 44 78 80 150 152 168 170 198 200 240 242	218458415592
TPT(14)	1126657233665764709	0 2 18 20 72 74 102 104 150 152 192 194 198 200	347268327702
SPT(16)	1126657574717577611	0 8 18 98 192 260 276 290 378 392 408 476 570 650 660 668	688320140604
SPT(16)	1126657606281053563	0 28 40 70 100 106 120 138 166 184 198 204 234 264 276 304	719883616556
SPT(16)	1126657858031713279	0 24 34 54 60 70 108 112 150 154 192 202 208 228 238 262	971634276272