Prime p₀= 1131136553582536997 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: stoneageman
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1131135465658573019	0 14 30 42 74 128 134 170 192 228 234 288 320 332 348 362	-1087923963978
SPT(20)	1131135529976226989	0 8 42 60 128 132 144 212 242 278 414 450 480 548 560 564 632 650 684 692	-1023606310008
STPT(10)	1131135754014364067	0 2 54 56 72 74 90 92 144 146	-799568172930
SPT(16)	1131136093597600901	0 6 26 66 72 98 108 128 210 230 240 266 272 312 332 338	-459984936096
STPT(10)	1131136299260606501	0 2 36 38 78 80 120 122 156 158	-254321930496
STPT(10)	1131136365355862321	0 2 30 32 78 80 126 128 156 158	-188226674676
STPT(10)	1131136684644804161	0 2 36 38 78 80 120 122 156 158	131062267164
STPT(10)	1131137276320331459	0 2 48 50 90 92 132 134 180 182	722737794462
SPT(16)	1131137671773431563	0 66 108 154 174 180 234 238 246 250 304 310 330 376 418 484	1118190894566
STPT(10)	1131138153952979069	0 2 18 20 30 32 42 44 60 62	1600370442072
STPT(10)	1131138356028241577	0 2 30 32 120 122 210 212 240 242	1802445704580