Prime p₀= 2251000805624697821 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: JayPi
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2250999884866026601	0 16 52 88 118 138 216 238 240 262 340 360 390 426 462 478	-920758671220
STPT(10)	2250999941550775367	0 2 30 32 42 44 54 56 84 86	-864073922454
TPT(14)	2251000166605625711	0 2 78 80 150 152 180 182 210 212 246 248 288 290	-639019072110
SPT(16)	2251000270667568811	0 18 28 30 40 72 88 118 150 180 196 228 238 240 250 268	-534957129010
SPT(16)	2251000717796092687	0 12 22 40 60 102 112 120 154 162 172 214 234 252 262 274	-87828605134
SPT(16)	2251000733048199997	0 12 30 82 106 132 210 232 390 412 490 516 540 592 610 622	-72576497824
SPT(16)	2251000845804211561	0 16 30 40 90 102 112 130 168 186 196 208 258 268 282 298	40179513740
STPT(10)	2251000985328812399	0 2 48 50 90 92 132 134 180 182	179704114578
SPT(16)	2251001054837315069	0 2 14 20 24 90 98 158 174 234 242 308 312 318 330 332	249212617248
STPT(10)	2251001065751279837	0 2 30 32 72 74 114 116 144 146	260126582016
SPT(16)	2251001133931765339	0 24 60 82 88 90 112 124 138 150 172 174 180 202 238 262	328307067518