Prime p₀= 1956644505422557121 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 40 2 40 2 64 2 (?)
a_n: 0 2 66 68 108 110 150 152 216 218
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: 218
Found by: MarkRBright
db: batch=80, k=10, 2 64 2 40 2

SPT(16)	1956643068961265281	0 22 70 78 100 108 156 178 210 232 280 288 310 318 366 388	-1436461291840
SPT(16)	1956643554218725583	0 18 24 26 54 60 66 96 128 158 164 170 198 200 206 224	-951203831538
SPT(16)	1956643600307272271	0 48 62 66 68 72 90 92 126 128 146 150 152 156 170 218	-905115284850
STPT(10)	1956643837072535729	0 2 18 20 30 32 42 44 60 62	-668350021392
TPT(14)	1956643918130163671	0 2 48 50 66 68 78 80 90 92 126 128 138 140	-587292393450
SPT(16)	1956644241720450329	0 24 50 68 98 150 168 182 270 284 302 354 384 402 428 452	-263702106792
STPT(10)	1956645004148133161	0 2 30 32 78 80 126 128 156 158	498725576040
SPT(16)	1956645026200827119	0 14 44 48 80 120 122 138 164 180 182 222 254 258 288 302	520778269998
SPT(16)	1956645201796974439	0 4 10 28 34 108 142 178 234 270 304 378 384 402 408 412	696374417318
SPT(16)	1956645217852875569	0 8 50 54 62 68 120 134 138 152 204 210 218 222 264 272	712430318448
STPT(10)	1956645223031524967	0 2 30 32 42 44 54 56 84 86	717608967846