Prime p₀= 1242778494270553577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Cruncher Pete
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1242777656899475863	0 18 40 48 64 118 130 166 168 204 216 270 286 294 316 334	-837371077714
STPT(10)	1242777840103878707	0 2 30 32 72 74 114 116 144 146	-654166674870
TPT(16)	1242777935585065337	0 2 132 134 204 206 252 254 264 266 300 302 402 404 474 476	-558685488240
SPT(16)	1242778149022405883	0 26 54 56 60 116 140 164 216 240 264 320 324 326 354 380	-345248147694
SPT(16)	1242778252224073879	0 42 84 100 112 132 144 172 210 238 250 270 282 298 340 382	-242046479698
STPT(10)	1242778449116070479	0 2 18 20 30 32 42 44 60 62	-45154483098
SPT(16)	1242778793998310423	0 18 24 50 54 60 78 96 98 116 134 140 144 170 176 194	299727756846
TPT(14)	1242778830686355761	0 2 36 38 66 68 78 80 120 122 168 170 318 320	336415802184
STPT(10)	1242779526411161411	0 2 30 32 78 80 126 128 156 158	1032140607834
SPT(16)	1242779540043090949	0 18 22 30 58 64 70 78 124 132 138 144 172 180 184 202	1045772537372
STPT(10)	1242779544275484671	0 2 30 32 78 80 126 128 156 158	1050004931094