Prime p₀= 782365659350616137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: [SG-2W]Kurzer
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	782364206313849449	0 12 38 50 78 98 110 120 170 180 192 212 240 252 278 290	-1453036766688
SPT(16)	782364267563852989	0 42 58 94 100 112 114 124 198 208 210 222 228 264 280 322	-1391786763148
STPT(10)	782364503884743707	0 2 30 32 72 74 114 116 144 146	-1155465872430
STPT(10)	782365198733605769	0 2 42 44 60 62 78 80 120 122	-460617010368
SPT(16)	782365230109392973	0 40 54 60 94 120 186 190 270 274 340 366 400 406 420 460	-429241223164
STPT(10)	782365315448129009	0 2 18 20 60 62 102 104 120 122	-343902487128
STPT(10)	782365711548608951	0 2 30 32 78 80 126 128 156 158	52197992814
SPT(16)	782365760526823153	0 48 58 64 90 118 126 130 174 178 186 214 240 246 256 304	101176207016
STPT(10)	782365884488796659	0 2 42 44 60 62 78 80 120 122	225138180522
TPT(14)	782365964638992689	0 2 18 20 42 44 48 50 72 74 102 104 138 140	305288376552
STPT(10)	782366276637874307	0 2 30 32 42 44 54 56 84 86	617287258170