Prime p₀= 2774555764287430577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2774554485541791863	0 14 36 54 66 126 144 180 290 326 344 404 416 434 456 470	-1278745638714
STPT(10)	2774554711611356447	0 2 54 56 72 74 90 92 144 146	-1052676074130
STPT(10)	2774554950552178247	0 2 24 26 42 44 60 62 84 86	-813735252330
STPT(12)	2774554953897198881	0 2 36 38 48 50 78 80 90 92 126 128	-810390231696
SPT(16)	2774555028539437439	0 20 24 30 80 90 98 108 164 174 182 192 242 248 252 272	-735747993138
STPT(10)	2774555697945434189	0 2 42 44 90 92 138 140 180 182	-66341996388
STPT(10)	2774555994605604101	0 2 6 8 48 50 90 92 96 98	230318173524
SPT(16)	2774556185880575953	0 6 70 84 90 96 126 156 178 208 238 244 250 264 328 334	421593145376
SPT(16)	2774556407401522111	0 40 78 132 148 156 250 310 348 408 502 510 526 580 618 658	643114091534
STPT(10)	2774556484944810647	0 2 54 56 72 74 90 92 144 146	720657380070
TPT(14)	2774556708401781599	0 2 60 62 72 74 162 164 228 230 258 260 270 272	944114351022