Prime p₀= 2104599733559196659 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: kashi
db: batch=80, k=10, 2 40 2 16 2

STPT(10)	2104598470493813351	0 2 30 32 78 80 126 128 156 158	-1263065383308
STPT(10)	2104598721239543717	0 2 24 26 42 44 60 62 84 86	-1012319652942
SPT(16)	2104598894173946581	0 52 90 102 120 130 132 138 160 166 168 178 196 208 246 298	-839385250078
STPT(10)	2104599532568441717	0 2 12 14 72 74 132 134 144 146	-200990754942
STPT(10)	2104599647182715861	0 2 6 8 48 50 90 92 96 98	-86376480798
SPT(16)	2104599700249758553	0 4 10 28 48 90 108 114 130 136 154 196 216 234 240 244	-33309438106
SPT(16)	2104599860213053369	0 4 18 34 70 84 112 124 138 150 178 192 228 244 258 262	126653856710
TPT(14)	2104599866720871251	0 2 6 8 30 32 96 98 138 140 156 158 180 182	133161674592
SPT(16)	2104599878589327397	0 10 12 54 82 106 120 126 130 136 150 174 202 244 246 256	145030130738
STPT(12)	2104600287308201609	0 2 12 14 42 44 78 80 108 110 120 122	553749004950
STPT(10)	2104600640503997549	0 2 42 44 90 92 138 140 180 182	906944800890