Prime p₀= 3029842650545021291 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: [SG]ATA-Rolf
db: batch=82, k=10, 2 34 2 40 2

STPT(10)	3029841067968780881	0 2 6 8 48 50 90 92 96 98	-1582576240410
SPT(16)	3029841093245290931	0 26 36 48 62 68 78 90 188 200 210 216 230 242 252 278	-1557299730360
SPT(16)	3029841127372240289	0 42 50 78 98 140 174 194 198 218 252 294 314 342 350 392	-1523172781002
SPT(16)	3029841179990186801	0 2 30 78 110 128 152 182 276 306 330 348 380 428 456 458	-1470554834490
STPT(10)	3029841845996895869	0 2 18 20 30 32 42 44 60 62	-804548125422
STPT(10)	3029842625936878649	0 2 18 20 60 62 102 104 120 122	-24608142642
STPT(10)	3029843150626804151	0 2 6 8 48 50 90 92 96 98	500081782860
STPT(10)	3029843164559366711	0 2 6 8 48 50 90 92 96 98	514014345420
SPT(16)	3029843709782695889	0 12 14 108 114 122 128 132 230 234 240 248 254 348 350 362	1059237674598
SPT(16)	3029843817671042279	0 42 48 68 230 252 308 320 342 354 410 432 594 614 620 662	1167126020988
SPT(16)	3029843918180589277	0 34 40 70 124 154 162 196 270 304 312 342 396 426 432 466	1267635567986