Prime p₀= 1317514228707742361 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Theadalus
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1317512455535384411	0 20 42 66 80 92 102 108 140 146 156 168 182 206 228 248	-1773172357950
SPT(16)	1317513099617646461	0 12 90 138 168 186 210 248 330 368 392 410 440 488 566 578	-1129090095900
TPT(16)	1317513204895981649	0 2 48 50 90 92 132 134 150 152 162 164 180 182 318 320	-1023811760712
SPT(16)	1317513617393802043	0 28 34 48 54 70 120 124 174 178 228 244 250 264 270 298	-611313940318
SPT(18)	1317513709868206847	0 12 50 72 80 132 156 164 176 210 222 230 254 306 314 336 374 386	-518839535514
STPT(10)	1317513799085401997	0 2 72 74 102 104 132 134 204 206	-429622340364
SPT(16)	1317514389822153181	0 18 42 58 60 70 150 156 262 268 348 358 360 376 400 418	161114410820
STPT(10)	1317514580530341497	0 2 54 56 132 134 210 212 264 266	351822599136
SPT(16)	1317514605828801481	0 10 72 90 112 136 192 252 376 436 492 516 538 556 618 628	377121059120
STPT(12)	1317514608283878839	0 2 18 20 42 44 48 50 72 74 90 92	379576136478
STPT(10)	1317514904016320699	0 2 18 20 30 32 42 44 60 62	675308578338