Prime p₀= 1292179171300952327 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: Cruncher Pete
db: batch=77, k=10, 2 28 2 10 2

STPT(10)	1292177874195236387	0 2 60 62 72 74 84 86 144 146	-1297105715940
SPT(16)	1292177974620589543	0 4 16 34 76 100 106 120 154 168 174 198 240 258 270 274	-1196680362784
SPT(16)	1292178437501522429	0 14 20 24 50 80 132 140 174 182 234 264 290 294 300 314	-733799429898
STPT(10)	1292178828211264991	0 2 6 8 48 50 90 92 96 98	-343089687336
SPT(16)	1292178913594599133	0 4 10 46 54 70 160 166 174 180 270 286 294 330 336 340	-257706353194
STPT(10)	1292178972236347757	0 2 42 44 72 74 102 104 144 146	-199064604570
SPT(16)	1292179243073697469	0 60 100 130 148 178 190 208 210 228 240 270 288 318 358 418	71772745142
SPT(16)	1292179445604817571	0 36 62 68 86 96 146 152 246 252 302 312 330 336 362 398	274303865244
STPT(10)	1292179521775512911	0 2 30 32 78 80 126 128 156 158	350474560584
STPT(10)	1292179592955112481	0 2 6 8 48 50 90 92 96 98	421654160154
STPT(10)	1292179749558166067	0 2 30 32 42 44 54 56 84 86	578257213740