Prime p₀= 3742570870965917 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Agus
db: batch=61, k=10, 2 10 2 28 2

SPT(14)	3742544233862867	0 14 56 66 102 132 144 212 224 254 290 300 342 356	-26637103050
TPT(12)	3742545459728807	0 2 12 14 90 92 144 146 174 176 180 182	-25411237110
SPT(16)	3742550387553451	0 22 28 42 66 78 90 106 132 148 160 172 196 210 216 238	-20483412466
TPT(12)	3742560449383619	0 2 48 50 78 80 132 134 138 140 162 164	-10421582298
SPT(14)	3742565612715373	0 6 28 36 48 70 90 94 114 136 148 156 178 184	-5258250544
TPT(12)	3742567750251017	0 2 84 86 132 134 204 206 270 272 282 284	-3120714900
SPT(14)	3742576393312541	0 38 96 116 152 158 176 252 270 276 312 332 390 428	5522346624
SPT(14)	3742577197855633	0 46 60 76 90 100 114 130 144 154 168 184 198 244	6326889716
SPT(14)	3742577865445219	0 12 132 142 204 210 234 250 274 280 342 352 472 484	6994479302
SPT(14)	3742579324687967	0 36 114 126 156 194 234 266 306 344 374 386 464 500	8453722050
SPT(14)	3742584982348831	0 40 82 100 126 132 156 166 190 196 222 240 282 322	14111382914