Prime p₀= 1949398670619123431 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Orange Kid
db: batch=80, k=10, 2 34 2 40 2

STPT(12)	1949396203138156271	0 2 48 50 78 80 90 92 120 122 168 170	-2467480967160
STPT(10)	1949396813648361947	0 2 72 74 102 104 132 134 204 206	-1856970761484
STPT(10)	1949396884367925857	0 2 12 14 72 74 132 134 144 146	-1786251197574
SPT(13)	1949397866951161171	0 12 30 42 48 72 90 108 132 138 150 168 180	-803667962260
SPT(16)	1949397875633645617	0 4 10 42 52 66 124 126 190 192 250 264 274 306 312 316	-794985477814
SPT(16)	1949398073708803351	0 22 72 78 88 90 142 162 208 228 280 282 292 298 348 370	-596910320080
SPT(16)	1949398698663647593	0 6 18 60 66 88 96 118 138 160 168 190 196 238 250 256	28044524162
SPT(16)	1949399651601337487	0 32 54 60 110 132 282 314 402 434 584 606 656 662 684 716	980982214056
STPT(10)	1949399695987426181	0 2 36 38 78 80 120 122 156 158	1025368302750
SPT(16)	1949400029835872987	0 6 32 36 50 62 66 90 176 200 204 216 230 234 260 266	1359216749556
SPT(16)	1949400262147386959	0 18 110 158 234 264 294 390 392 488 518 548 624 672 764 782	1591528263528