Prime p₀= 2302226900900762357 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: FritzB
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2302226245464022799	0 8 18 32 50 60 62 84 98 120 122 132 150 164 174 182	-655436739558
SPT(16)	2302226286761451679	0 30 54 70 82 114 118 154 198 234 238 270 282 298 322 352	-614139310678
SPT(16)	2302226297717812597	0 6 40 54 66 70 96 124 132 160 186 190 202 216 250 256	-603182949760
SPT(16)	2302226396407611361	0 46 52 106 130 136 142 162 220 240 246 252 276 330 336 382	-504493150996
SPT(18)	2302226402324954293	0 24 30 34 58 214 300 310 334 354 378 388 474 630 654 658 664 688	-498575808064
SPT(16)	2302226658306273781	0 40 78 88 108 130 136 150 166 180 186 208 228 238 276 316	-242594488576
STPT(10)	2302227025371992177	0 2 30 32 42 44 54 56 84 86	124471229820
SPT(13)	2302227040942215943	0 24 48 78 108 168 204 240 300 330 360 384 408	140041453586
STPT(10)	2302227242595468437	0 2 30 32 42 44 54 56 84 86	341694706080
SPT(16)	2302227288853713383	0 24 96 116 134 140 164 200 204 240 264 270 288 308 380 404	387952951026
SPT(16)	2302227532567086473	0 6 30 38 86 96 138 156 308 326 368 378 426 434 458 464	631666324116