Prime p₀= 1578821072716216331 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: xii5ku
db: batch=78, k=10, 2 28 2 28 2

STPT(10)	1578819797798408621	0 2 30 32 78 80 126 128 156 158	-1274917807710
SPT(16)	1578820142813057953	0 4 48 58 90 118 124 138 160 174 180 208 240 250 294 298	-929903158378
STPT(10)	1578820303302956687	0 2 30 32 42 44 54 56 84 86	-769413259644
SPT(16)	1578820566764475961	0 6 10 58 72 78 108 112 156 160 190 196 210 258 262 268	-505951740370
SPT(16)	1578820726142335721	0 12 26 66 86 92 110 122 126 138 156 162 182 222 236 248	-346573880610
STPT(10)	1578820851458195669	0 2 18 20 30 32 42 44 60 62	-221258020662
STPT(10)	1578821292650042801	0 2 6 8 48 50 90 92 96 98	219933826470
SPT(16)	1578821310951367099	0 40 42 52 64 78 84 108 154 178 184 198 210 220 222 262	238235150768
SPT(16)	1578821343465915377	0 12 36 56 86 92 96 104 162 170 174 180 210 230 254 266	270749699046
SPT(16)	1578821416766519351	0 12 72 110 116 152 258 270 308 320 426 462 468 506 566 578	344050303020
SPT(16)	1578821606912322133	0 4 48 70 78 106 138 154 180 196 228 256 264 286 330 334	534196105802