Prime p₀= 1412153467103434997 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: Paul
db: batch=78, k=10, 2 28 2 10 2

SPT(16)	1412151711049576631	0 30 32 68 72 120 138 140 180 182 200 248 252 288 290 320	-1756053858366
SPT(16)	1412152321730364013	0 4 10 24 28 34 48 76 78 106 120 126 130 144 150 154	-1145373070984
STPT(10)	1412152603273614869	0 2 18 20 60 62 102 104 120 122	-863829820128
STPT(10)	1412152682443299239	0 2 42 44 60 62 78 80 120 122	-784660135758
TPT(14)	1412152995146923199	0 2 42 44 60 62 210 212 228 230 282 284 330 332	-471956511798
SPT(16)	1412153383735239077	0 20 60 80 102 150 162 176 300 314 326 374 396 416 456 476	-83368195920
STPT(10)	1412153611166091977	0 2 30 32 42 44 54 56 84 86	144062656980
SPT(16)	1412153689105233281	0 18 62 158 188 236 336 342 356 362 462 510 540 636 680 698	222001798284
STPT(10)	1412153978137222289	0 2 12 14 30 32 48 50 60 62	511033787292
SPT(16)	1412154128678802241	0 28 40 42 46 78 120 148 150 178 220 252 256 258 270 298	661575367244
SPT(16)	1412154602885219327	0 14 24 30 56 72 110 122 144 156 194 210 236 242 252 266	1135781784330