Prime p₀= 1971673627327860821 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: Cruncher Pete
db: batch=80, k=10, 2 28 2 46 2

SPT(16)	1971671701218054469	0 82 154 162 228 232 258 264 358 364 390 394 460 468 540 622	-1926109806352
SPT(16)	1971671702091897979	0 24 28 34 42 60 64 82 90 108 112 130 138 144 148 172	-1925235962842
STPT(10)	1971672044660046611	0 2 36 38 78 80 120 122 156 158	-1582667814210
SPT(16)	1971672114324890513	0 56 86 110 126 138 144 156 158 170 176 188 204 228 258 314	-1513002970308
STPT(10)	1971672185943035657	0 2 54 56 72 74 90 92 144 146	-1441384825164
SPT(16)	1971672859782585727	0 6 60 66 84 126 174 196 234 256 304 346 364 370 424 430	-767545275094
SPT(16)	1971674114612641697	0 26 122 156 174 180 200 242 264 306 326 332 350 384 480 506	487284780876
TPT(14)	1971674253883693349	0 2 42 44 48 50 72 74 102 104 222 224 390 392	626555832528
SPT(16)	1971674298513102907	0 22 36 64 106 132 136 190 306 360 364 390 432 460 474 496	671185242086
STPT(10)	1971674422506604601	0 2 36 38 78 80 120 122 156 158	795178743780
SPT(16)	1971674646443571911	0 6 20 30 56 78 86 168 248 330 338 360 386 396 410 416	1019115711090