Prime p₀= 2972813712353271119 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: [SG-FC] hl
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	2972812444886308103	0 6 24 60 80 98 126 156 158 188 216 234 254 290 308 314	-1267466963016
SPT(18)	2972812595667679757	0 32 54 84 116 126 180 186 194 222 230 236 290 300 332 362 384 416	-1116685591362
TPT(14)	2972812681069271009	0 2 30 32 132 134 138 140 168 170 210 212 258 260	-1031284000110
SPT(16)	2972812725083160727	0 10 106 120 130 144 174 196 210 232 262 276 286 300 396 406	-987270110392
STPT(10)	2972813054253248411	0 2 6 8 18 20 30 32 36 38	-658100022708
SPT(16)	2972813147429761211	0 8 38 42 60 66 86 116 132 162 182 188 206 210 240 248	-564923509908
SPT(16)	2972813831237212891	0 10 48 76 78 102 120 126 172 178 196 220 222 250 288 298	118883941772
SPT(16)	2972813902690825429	0 148 220 238 250 252 348 372 430 454 550 552 564 582 654 802	190337554310
TPT(14)	2972813951097192899	0 2 48 50 90 92 132 134 138 140 168 170 222 224	238743921780
STPT(10)	2972814340140839861	0 2 6 8 18 20 30 32 36 38	627787568742
STPT(10)	2972814401473871111	0 2 66 68 108 110 150 152 216 218	689120599992