Prime p₀= 978153026993828891 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Spectrum
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	978152073712787131	0 42 48 60 82 88 118 120 130 132 162 168 190 202 208 250	-953281041760
SPT(16)	978152593267425871	0 22 36 40 102 190 196 246 256 306 312 400 462 466 480 502	-433726403020
SPT(16)	978152598134095919	0 8 38 42 80 98 104 110 162 168 174 192 230 234 264 272	-428859732972
STPT(10)	978152656035768467	0 2 42 44 72 74 102 104 144 146	-370958060424
TPT(14)	978152661519056711	0 2 18 20 30 32 48 50 120 122 156 158 186 188	-365474772180
SPT(16)	978153025518579943	0 28 40 70 76 90 96 114 130 148 154 168 174 204 216 244	-1475248948
SPT(16)	978153112394277769	0 22 24 28 48 52 124 160 222 258 330 334 354 358 360 382	85400448878
STPT(10)	978153128160719387	0 2 30 32 60 62 90 92 120 122	101166890496
SPT(16)	978153537827341549	0 42 48 64 114 142 174 234 238 298 330 358 408 424 430 472	510833512658
STPT(10)	978153962939536001	0 2 36 38 108 110 180 182 216 218	935945707110
SPT(16)	978153986368895173	0 34 54 66 84 88 96 138 166 208 216 220 238 250 270 304	959375066282