Prime p₀= 1459791087599162567 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: Spectrum
db: batch=78, k=10, 2 28 2 10 2

TPT(14)	1459788212725769231	0 2 90 92 138 140 198 200 240 242 258 260 390 392	-2874873393336
SPT(16)	1459788246777285941	0 20 36 42 50 80 96 102 140 146 162 192 200 206 222 242	-2840821876626
SPT(16)	1459788292242343381	0 28 30 70 82 112 138 142 258 262 288 318 330 370 372 400	-2795356819186
STPT(10)	1459789737188326301	0 2 6 8 18 20 30 32 36 38	-1350410836266
STPT(10)	1459790454547686881	0 2 6 8 48 50 90 92 96 98	-633051475686
SPT(16)	1459790698819157917	0 24 36 60 70 136 156 190 276 310 330 396 406 430 442 466	-388780004650
SPT(16)	1459791099419308949	0 38 60 72 80 90 98 132 140 174 182 192 200 212 234 272	11820146382
STPT(10)	1459791141849761489	0 2 18 20 30 32 42 44 60 62	54250598922
STPT(10)	1459791371593786241	0 2 6 8 48 50 90 92 96 98	283994623674
SPT(16)	1459791549780984283	0 24 28 30 34 58 90 100 168 178 210 234 238 240 244 268	462181821716
SPT(16)	1459792353971098271	0 12 20 26 36 42 50 78 80 108 116 122 132 138 146 158	1266371935704