Prime p₀= 1028023790799603671 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 40 2 40 2 64 2 (?)
a_n: 0 2 66 68 108 110 150 152 216 218
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: 218
Found by: Theadalus
db: batch=76, k=10, 2 64 2 40 2

TPT(14)	1028021850290395061	0 2 36 38 48 50 90 92 96 98 126 128 288 290	-1940509208610
SPT(16)	1028021968825607111	0 20 32 68 80 102 152 168 170 186 236 258 270 306 318 338	-1821973996560
STPT(10)	1028022119435040797	0 2 12 14 42 44 72 74 84 86	-1671364562874
SPT(16)	1028022236494743617	0 12 24 30 56 80 110 122 294 306 336 360 386 392 404 416	-1554304860054
SPT(16)	1028022539584695301	0 70 136 138 208 258 348 370 378 400 490 540 610 612 678 748	-1251214908370
SPT(16)	1028022950724978709	0 18 120 154 184 190 210 228 310 328 348 354 384 418 520 538	-840074624962
STPT(10)	1028023818440187377	0 2 54 56 72 74 90 92 144 146	27640583706
STPT(10)	1028023928752235057	0 2 30 32 42 44 54 56 84 86	137952631386
SPT(16)	1028024356593718747	0 22 40 46 70 120 124 154 222 252 256 306 330 336 354 376	565794115076
SPT(16)	1028024710831650613	0 4 58 64 76 96 156 198 256 298 358 378 390 396 450 454	920032046942
TPT(14)	1028024828954600171	0 2 6 8 30 32 90 92 120 122 156 158 186 188	1038154996500