Prime p₀= 2503771428459563177 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)	2503768875303885929	0 24 32 38 68 84 98 134 168 204 218 234 264 270 278 302	-2553155677248
STPT(10)	2503769390082146279	0 2 30 32 60 62 90 92 120 122	-2038377416898
STPT(10)	2503769646094024907	0 2 30 32 42 44 54 56 84 86	-1782365538270
SPT(16)	2503769871523322057	0 6 50 132 146 162 174 200 336 362 374 390 404 486 530 536	-1556936241120
STPT(10)	2503770500194038599	0 2 18 20 30 32 42 44 60 62	-928265524578
SPT(16)	2503770515839997347	0 4 30 34 52 82 132 160 234 262 312 342 360 364 390 394	-912619565830
SPT(16)	2503771815547468229	0 2 8 122 144 170 234 252 410 428 492 518 540 654 660 662	387087905052
TPT(14)	2503771848731371739	0 2 78 80 120 122 132 134 162 164 180 182 222 224	420271808562
SPT(16)	2503772304930531407	0 12 24 36 42 126 210 216 240 246 330 414 420 432 444 456	876470968230
SPT(16)	2503772360104598753	0 8 18 36 114 146 150 186 188 224 228 260 338 356 366 374	931645035576
STPT(10)	2503772704966786619	0 2 42 44 60 62 78 80 120 122	1276507223442