Prime p₀= 2309935163665811411 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: FritzB
db: batch=81, k=10, 2 34 2 40 2

SPT(16)	2309933594046940109	0 8 30 44 50 84 140 174 248 282 338 372 378 392 414 422	-1569618871302
SPT(16)	2309933972201679977	0 20 90 110 150 152 194 200 216 222 264 266 306 326 396 416	-1191464131434
SPT(16)	2309933991208720067	0 42 72 80 114 116 164 192 224 252 300 302 336 344 374 416	-1172457091344
SPT(16)	2309934134514218053	0 4 10 36 66 76 78 136 168 226 228 238 268 294 300 304	-1029151593358
SPT(16)	2309935001203338451	0 10 60 70 76 78 106 120 178 192 220 222 228 238 288 298	-162462472960
TPT(14)	2309935163665811399	0 2 12 14 48 50 90 92 132 134 168 170 240 242	-12
STPT(10)	2309936478818019719	0 2 48 50 90 92 132 134 180 182	1315152208308
STPT(10)	2309936617025771231	0 2 36 38 78 80 120 122 156 158	1453359959820
SPT(16)	2309936672874732599	0 24 38 78 90 152 174 222 230 278 300 362 374 414 428 452	1509208921188
TPT(16)	2309938056492172259	0 2 72 74 102 104 108 110 150 152 180 182 270 272 312 314	2892826360848
SPT(16)	2309938589912431211	0 6 38 62 66 68 90 108 140 158 180 182 186 210 242 248	3426246619800