Prime p₀= 774148062897192197 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: declis
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	774147070027304707	0 4 16 30 52 66 70 82 114 126 130 144 166 180 192 196	-992869887490
SPT(20)	774147078604411697	0 50 84 86 92 96 104 152 180 182 204 206 234 282 290 294 300 302 336 386	-984292780500
STPT(10)	774147095688499319	0 2 42 44 90 92 138 140 180 182	-967208692878
SPT(16)	774147188466144847	0 22 82 96 100 126 132 142 144 154 160 186 190 204 264 286	-874431047350
SPT(16)	774147692471407339	0 10 22 40 60 64 112 138 364 390 438 442 462 480 492 502	-370425784858
TPT(14)	774147962949162467	0 2 30 32 42 44 72 74 120 122 204 206 210 212	-99948029730
STPT(10)	774148218696082031	0 2 6 8 48 50 90 92 96 98	155798889834
STPT(10)	774148416889652447	0 2 24 26 42 44 60 62 84 86	353992460250
SPT(16)	774148418752746353	0 50 78 110 144 158 164 200 228 264 270 284 318 350 378 428	355855554156
TPT(14)	774148578940927637	0 2 30 32 42 44 54 56 102 104 144 146 234 236	516043735440
SPT(16)	774149484907483081	0 18 22 36 60 108 118 126 172 180 190 238 262 276 280 298	1422010290884