Prime p₀= 2014251338838348299 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JonS
db: batch=80, k=10, 2 16 2 10 2

STPT(10)	2014250018345638889	0 2 12 14 30 32 48 50 60 62	-1320492709410
SPT(16)	2014250253112018637	0 20 74 80 114 132 140 144 212 216 224 242 276 282 336 356	-1085726329662
SPT(16)	2014250432465922253	0 28 54 58 94 120 124 130 204 210 214 240 276 280 306 334	-906372426046
SPT(16)	2014250532134202991	0 12 16 28 66 70 82 88 150 156 168 172 210 222 226 238	-806704145308
STPT(10)	2014250822532039989	0 2 42 44 60 62 78 80 120 122	-516306308310
STPT(10)	2014251075056635157	0 2 30 32 42 44 54 56 84 86	-263781713142
SPT(16)	2014251635883383557	0 16 24 34 52 70 112 114 202 204 246 264 282 292 300 316	297045035258
STPT(10)	2014251845632995251	0 2 6 8 48 50 90 92 96 98	506794646952
STPT(10)	2014251879741223061	0 2 36 38 78 80 120 122 156 158	540902874762
SPT(16)	2014252474896534767	0 12 24 30 42 104 126 144 152 170 192 254 266 272 284 296	1136058186468
SPT(16)	2014252548846915787	0 12 34 54 64 76 106 132 244 270 300 312 322 342 364 376	1210008567488