Prime p₀= 2350779130123160291 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: arkiss
db: batch=81, k=10, 2 34 2 40 2

SPT(16)	2350777868964409733	0 38 60 140 144 200 206 248 336 378 384 440 444 524 546 584	-1261158750558
SPT(16)	2350777885524638527	0 12 16 46 70 100 102 112 114 124 126 156 180 210 214 226	-1244598521764
SPT(16)	2350777933655541113	0 8 20 36 50 84 110 170 174 234 260 294 308 324 336 344	-1196467619178
STPT(10)	2350778142343300721	0 2 6 8 18 20 30 32 36 38	-987779859570
STPT(10)	2350778281376108501	0 2 30 32 78 80 126 128 156 158	-848747051790
SPT(16)	2350778302327425169	0 12 34 42 64 78 94 114 118 138 154 168 190 198 220 232	-827795735122
STPT(10)	2350779184825095677	0 2 42 44 72 74 102 104 144 146	54701935386
SPT(16)	2350779249294141067	0 10 12 64 90 114 132 150 166 184 202 226 252 304 306 316	119170980776
SPT(16)	2350779271413947989	0 4 24 42 52 72 82 90 94 102 112 132 142 160 180 184	141290787698
SPT(16)	2350779439879789801	0 10 12 78 112 136 150 208 210 268 282 306 340 406 408 418	309756629510
STPT(10)	2350779468167180747	0 2 30 32 72 74 114 116 144 146	338044020456