Prime p₀= 116770114534115267 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: emoga
db: batch=67, k=10, 2 28 2 10 2

SPT(16)	116770012719162391	0 10 42 58 70 72 88 102 136 150 166 168 180 196 228 238	-101814952876
SPT(14)	116770025296437281	0 42 48 62 98 132 140 150 158 192 228 242 248 290	-89237677986
SPT(14)	116770025746369483	0 4 88 90 130 138 144 190 196 204 244 246 330 334	-88787745784
SPT(14)	116770046536001059	0 12 28 34 40 60 70 102 112 132 138 144 160 172	-67998114208
SPT(14)	116770069901401261	0 16 46 60 112 126 156 202 232 246 298 312 342 358	-44632714006
SPT(14)	116770096630354679	0 2 42 50 68 72 74 78 80 84 102 110 150 152	-17903760588
STPT(10)	116770120078300259	0 2 18 20 30 32 42 44 60 62	5544184992
SPT(14)	116770120467773287	0 16 82 100 102 106 126 160 180 184 186 204 270 286	5933658020
SPT(14)	116770122519244879	0 10 34 100 112 124 138 154 168 180 192 258 282 292	7985129612
SPT(14)	116770123713434327	0 2 12 14 44 80 90 146 156 192 222 224 234 236	9179319060
SPT(14)	116770141479256483	0 54 60 64 88 148 150 184 186 246 270 274 280 334	26945141216