Prime p₀= 1509871128663980837 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: xii5ku
db: batch=78, k=10, 2 58 2 10 2

SPT(16)	1509869280023780881	0 10 52 88 168 186 192 210 238 256 262 280 360 396 438 448	-1848640199956
SPT(16)	1509869310829815433	0 18 24 28 58 84 88 150 214 276 280 306 336 340 346 364	-1817834165404
SPT(16)	1509869692682988097	0 40 42 66 76 90 112 154 222 264 286 300 310 334 336 376	-1435980992740
SPT(16)	1509870000426564817	0 34 40 60 82 84 94 124 132 162 172 174 196 216 222 256	-1128237416020
STPT(10)	1509870870478497827	0 2 24 26 42 44 60 62 84 86	-258185483010
STPT(10)	1509870915504518849	0 2 42 44 60 62 78 80 120 122	-213159461988
STPT(10)	1509871262709788507	0 2 12 14 42 44 72 74 84 86	134045807670
STPT(10)	1509871307509314749	0 2 18 20 30 32 42 44 60 62	178845333912
TPT(14)	1509871404920667641	0 2 30 32 156 158 180 182 186 188 306 308 336 338	276256686804
TPT(14)	1509871450451202719	0 2 102 104 108 110 138 140 168 170 210 212 402 404	321787221882
SPT(16)	1509871916650683407	0 2 6 20 42 50 72 104 162 194 216 224 246 260 264 266	787986702570