Prime p₀= 2687946732660027257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2687945175244632547	0 34 72 76 114 184 214 226 270 282 312 382 420 424 462 496	-1557415394710
STPT(10)	2687945402173055417	0 2 30 32 42 44 54 56 84 86	-1330486971840
SPT(16)	2687945462677954007	0 14 36 60 62 74 90 96 140 146 162 174 176 200 222 236	-1269982073250
SPT(16)	2687945780049580511	0 80 126 128 180 198 206 240 266 300 308 326 378 380 426 506	-952610446746
SPT(16)	2687946246273294311	0 2 26 32 126 156 200 222 260 282 326 356 450 456 480 482	-486386732946
STPT(12)	2687946497807180369	0 2 12 14 42 44 60 62 90 92 102 104	-234852846888
SPT(16)	2687947011014530387	0 30 90 124 126 264 366 436 444 514 616 754 756 790 850 880	278354503130
STPT(10)	2687947394100871499	0 2 18 20 60 62 102 104 120 122	661440844242
SPT(16)	2687947484931580681	0 28 60 82 90 102 130 196 222 288 316 328 336 358 390 418	752271553424
SPT(16)	2687947878294595153	0 34 40 96 100 138 154 160 174 180 196 234 238 294 300 334	1145634567896
STPT(10)	2687948251582748237	0 2 30 32 72 74 114 116 144 146	1518922720980