Prime p₀= 1254388067464055309 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: Cruncher Pete
db: batch=77, k=10, 2 40 2 16 2

STPT(10)	1254387276935910107	0 2 12 14 72 74 132 134 144 146	-790528145202
SPT(16)	1254387286536143621	0 12 32 36 42 72 78 92 186 200 206 236 242 246 266 278	-780927911688
SPT(16)	1254387669463885651	0 18 52 70 78 106 120 136 252 268 282 310 318 336 370 388	-398000169658
STPT(10)	1254387734663421857	0 2 30 32 102 104 174 176 204 206	-332800633452
SPT(13)	1254387868936677239	0 24 30 48 78 168 204 240 330 360 378 384 408	-198527378070
SPT(16)	1254387941391853687	0 30 42 90 100 144 154 180 214 240 250 294 304 352 364 394	-126072201622
STPT(10)	1254388238543900027	0 2 12 14 42 44 72 74 84 86	171079844718
SPT(16)	1254388523414594767	0 16 30 70 72 84 150 154 162 166 232 244 246 286 300 316	455950539458
STPT(10)	1254388696575255851	0 2 30 32 78 80 126 128 156 158	629111200542
SPT(16)	1254388958003866859	0 32 42 80 84 98 104 114 158 168 174 188 192 230 240 272	890539811550
STPT(10)	1254389040435449297	0 2 30 32 42 44 54 56 84 86	972971393988