Prime p₀= 781596981669838889 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: jozef j
db: batch=73, k=10, 2 40 2 16 2

STPT(12)	781595531679646217	0 2 42 44 72 74 132 134 162 164 204 206	-1449990192672
SPT(16)	781595604914600507	0 14 26 30 36 84 104 206 264 366 386 434 440 444 456 470	-1376755238382
SPT(16)	781595716285074073	0 18 36 88 126 138 154 160 174 180 196 208 246 298 316 334	-1265384764816
SPT(18)	781596015438061771	0 10 36 72 112 138 156 168 178 180 190 202 220 246 286 322 348 358	-966231777118
SPT(16)	781596033156553211	0 18 20 48 56 60 78 86 90 98 116 120 128 156 158 176	-948513285678
STPT(10)	781596801525200429	0 2 18 20 30 32 42 44 60 62	-180144638460
STPT(10)	781597106685697187	0 2 12 14 42 44 72 74 84 86	125015858298
TPT(14)	781597320605893397	0 2 60 62 84 86 90 92 222 224 240 242 270 272	338936054508
SPT(16)	781597397768972251	0 42 46 60 78 108 112 132 166 186 190 220 238 252 256 298	416099133362
STPT(10)	781597787206507499	0 2 48 50 90 92 132 134 180 182	805536668610
SPT(16)	781597791028612709	0 8 42 54 78 128 132 134 138 140 144 194 218 230 264 272	809358773820